Algebra 2 - Rational Exponents

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  • Опубликовано: 1 апр 2025
  • Join the mathemagician's adventure into simplifying expressions with different exponents. Rational exponents basically means exponents that are fractions. We also cover negative exponents, nth roots, and roots of varying powers. YAY MATH!
    Learning math can always be fun and connective. Please visit www.yaymath.org for:
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    • free worksheets
    • exclusive blog dedicated to connected instruction
    • debut book on how to connect with and inspire students
    • all-in-one math courses that teachers and parents can use, backed by Yay Math energy

Комментарии • 335

  • @kfrb1
    @kfrb1 10 лет назад +159

    This man is a wonderful teacher; he shows so much humor and patience, and the lesson is very clearly communicated.

    • @logantouchet9468
      @logantouchet9468 5 лет назад +1

      I wish this guy was my teacher, the teacher I have sucks

    • @olorunfemibernard8855
      @olorunfemibernard8855 5 лет назад +1

      @@logantouchet9468 just keep learning were, I bet you even your maths teacher will soon notice your improvement i maths

  • @FlangePit94
    @FlangePit94 11 лет назад +117

    the most entertaining teacher that makes learning fun! why cant every teacher be like you? you're the best you've helped me get thru my homework and you teach way better than my teacher

  • @999davidstevens
    @999davidstevens 10 лет назад +42

    The best explanation and sense of humor ever. Almost anyone can teach math, but NOT anyone can make students to understand it!

  • @sarahholland5980
    @sarahholland5980 9 лет назад +137

    I'm taking Algebra II online and I'm not in a very good course (we don't really have sessions or anything, we have to learn on our own). I have to use RUclips to understand pretty much everything. I love your videos because not only do they give me the sense of being in a real classroom but I am also learning the lesson just as any other student does - not straight out of a textbook. Thank you so much!

    • @ananiateshome9647
      @ananiateshome9647 9 лет назад +5

      +Sarah Holland me to the same thing

    • @JoeCnNd
      @JoeCnNd 9 лет назад +1

      +Anania Teshome The reason I'm afraid to take college online. Somethings you need to take in class. I mean I'm learning quite a bit catching up but being out of school for 15 years takes its toll.

    • @estepheybryzer1554
      @estepheybryzer1554 7 лет назад +3

      same here i'm taking algebra2 online, it's so hard to understand when you have no actual classes, but this video help me. :)

    • @arwensweet7180
      @arwensweet7180 7 лет назад +1

      I agree!

  • @ghostradiodelete
    @ghostradiodelete 8 лет назад +45

    This has to be the greatest math teacher that ever was. Seriously these were lucky students.

  • @joea5265
    @joea5265 11 лет назад +12

    I'm 44 and studying for a degree in health info technology. i was struggling through the math until i found your videos. Thank you so much for doing this!

  • @yaymath
    @yaymath  11 лет назад +4

    Nice, Brandon! Allow me to wish you best of luck and success in your goal, which sounds fantastic. I'm so happy that Yay Math has been of service to you.

  • @penguinsnail4596
    @penguinsnail4596 10 лет назад +27

    All Hail The Great And Mighty, MATHEMAGICIAN!

  • @donovankoeberl7793
    @donovankoeberl7793 8 лет назад +2

    dude you saved my life! my teacher in college has a thick german accent and sometimes im half asleep during my 9am class... YOU SAVED ME! THANK YOU MATHMAGICIAN!!
    Subscribed liked and remembered for future math homework dilemmas

    • @إسماعيل-ط6خ3ض
      @إسماعيل-ط6خ3ض 8 лет назад

      lol even I'm in 9am :)

    • @donovankoeberl7793
      @donovankoeberl7793 8 лет назад

      +SE Archer Haha nice, I'm more adjusted now since school began. But seriously man you are the best math teacher I've seen I would have loved to be in one of your classes. You seem to have a great passion for your service and that is the key to greatness in any aspect of life. You are a rare breed, keep spinning that gold man ✌️

  • @ShAdOwWaVeSs
    @ShAdOwWaVeSs 12 лет назад

    You don't even understand how much I love you right now. You are probably the greatest math teacher I have ever had.

  • @SpartanLawyer
    @SpartanLawyer 9 лет назад +14

    I'm not sure if you'll ever see this comment, but these lessons are helping me so much. I'm taking Algebra 2 online for summer school because I failed the course twice, but you are helping me understand these concepts for the first time. Thank you!!

    • @ggivens7604
      @ggivens7604 9 лет назад +2

      +Chris Noble nice picture btw
      feel the Bern!

  • @peachypanda110
    @peachypanda110 11 лет назад +18

    You are a very inspirational teacher. Thank you for doing what you do! YAY MATH! :D

  • @acerenner
    @acerenner 6 лет назад +13

    I feel like I'm actually in the classroom lol I love it 😂😂

  • @maddiemaccheese8170
    @maddiemaccheese8170 8 лет назад +1

    This is by far the hardest unit of algebra two I've had the misfortune of suffering through so far, but after barely scraping by two weeks of not understanding and no one being able to get it through to me, you've managed to not only teach me this terrifying concept but also save my grade altogether. And for a right-brained linguist such as myself, that takes a lot. Thank you and I'll definitely recommend you to my friends!

    • @alicosis
      @alicosis 8 лет назад

      Maddie Mac & Cheese thhhh

  • @suzannefarr8426
    @suzannefarr8426 11 лет назад

    I am 44, studying for the GRE. This is soooooo helpful. I am teacher and love seeing someone with PERSONALITY teaching.
    IT IS LIKE REALLY BEING IN CLASS!!! I love having the students give answers. THANK YOU FOR KEEPING IT REAL!!!!!
    I GET THE EXPONENT THING BETTER NOW!!!!

  • @tacos394
    @tacos394 10 лет назад +1

    I love that the students ask questions!!!, sometimes you were going too fast and since this is all new to me I needed more clarification on certain aspects. with the students keeping the pace at which you explain math it makes it better for me and everyone else who have math anxiety to keep up and learn!! Thankyou Yay Math!!

  • @katievandamme6684
    @katievandamme6684 11 лет назад +3

    guess who's not going to fail her math exam tomorrow??? this girllll!!!!!!! yay thanks so much! best teacher ever

  • @nrnrtrading
    @nrnrtrading 11 лет назад +5

    i wish you were my math teacher
    you entertain while you teach this is great!

  • @foreveryoung7852
    @foreveryoung7852 8 лет назад +1

    the introduction was so cool! 😎

  • @flyfisherman1997
    @flyfisherman1997 12 лет назад

    So glad I found this teacher. This could potentially save my math grade.

  • @Omkar3324
    @Omkar3324 4 года назад

    Maybe the best math teacher someone would ever deserve.

  • @sepidehmostafavi7159
    @sepidehmostafavi7159 10 лет назад +3

    He really great teacher I did not have any clue about math but since I watched his lessons , I totally get it what is going on , and math is not big deal any more for me , thanks a lot

  • @002cluna
    @002cluna 11 лет назад +20

    my algebra 2 teacher is so boring and expects us to know how to do the problems just by reading the book.

  • @sammyfellah1269
    @sammyfellah1269 9 лет назад

    I have no clue what I would do without you!

  • @Michelle-mk9yi
    @Michelle-mk9yi 10 лет назад +2

    You are amazing! I've been out of school for awhile and was having problems in my college algebra class this semester. I did a search looking for some examples to help with homework and stumbled across you. I think I may actually make an A on my test Monday. Thank you so much!! You're easy to understand and so funny! Great class group btw.

  • @PYMGUS
    @PYMGUS 6 лет назад +2

    Bruh I love the goofy ass kids, very entertaining. Also really helpful math wise

  • @ingriddouglas408
    @ingriddouglas408 5 лет назад

    This teacher cracks me up. I follow him and I learn a lot.

  • @photoshoptuts4408
    @photoshoptuts4408 2 года назад

    The best explanation ever. Wish he can reach millions of subscribers as other math channels.

  • @niquanow
    @niquanow 7 лет назад +1

    I love the class interaction. Awesome teachings!

  • @ichagala4974
    @ichagala4974 8 лет назад

    you sir, are an actual legend. sick for 2 days but I caught back thanks to you

  • @shanzaykhan7292
    @shanzaykhan7292 6 лет назад +1

    the video is literally 2 minutes in and i finally understand this after watching so many videos. BEST MATH TEACHER EVER HAHA

  • @ItsWednesdayFolks
    @ItsWednesdayFolks 6 лет назад

    My teacher literally just handed us papers with no explaining and I learned all I needed to know in the first 4 minutes of this video.

  • @Nozarks1
    @Nozarks1 3 года назад

    If more teachers were like him, people would like math.

  • @AndrewLee-wl6cn
    @AndrewLee-wl6cn 6 лет назад

    I wish all math classes were like this.

  • @juliasalvador2592
    @juliasalvador2592 10 лет назад +1

    I love this guy so much! Ill be sitting in my not so yay math class and Ill watch the mathemagician instead of my teacher haha I wish my teacher was like you!

  • @pradnyatayde3887
    @pradnyatayde3887 6 лет назад +6

    “Can anyone tell me what to do here?”
    “Cry.”

  • @amandabekka6636
    @amandabekka6636 8 лет назад +1

    I wish ALL math teachers taught like this!

  • @KrayFashion
    @KrayFashion 11 лет назад +1

    Welcome back Mr Headache long time no see. I need to rewatch this whole thing all over again :(

  • @mynameissavannah1
    @mynameissavannah1 11 лет назад

    Thanks for keeping it fun and interesting, my mind doesn't wander much watching your videos even at 11 at night

  • @iamjuniorduh
    @iamjuniorduh 6 лет назад

    At 2:23 is when I learned it, that was fast. He did it so well. Thank you.

  • @AllKineStuffs
    @AllKineStuffs 11 лет назад

    You make math fun again...unlike my current college algebra teacher.

  • @bananakitofinternetclan8350
    @bananakitofinternetclan8350 5 лет назад

    I was sick today and missed the math lesson. Thankfully I saw that my teacher only assigned 1 assignment instead of 2, which she usually does.
    This video helped a ton!! Thanks!
    Also I would so be like this teacher if I were a teacher. I would arrive dressed in one of those T.rex costumes and just act normally like nothing was weird.

  • @BarakYisrael
    @BarakYisrael 11 лет назад +1

    hahah i would remind you of yourself if i was your student. if i ever tought, id be the same way thats how my personality is. but im aspiring to be a genetic engineer, and these videos really help i need to take calc 1-3 so i really thank you man. i wish you were my teacher when i was in highskool lol good teaching style keep it up man

  • @botston
    @botston 5 лет назад

    5 years later and still the best teacher

  • @angelmiyea
    @angelmiyea 6 лет назад +1

    I’m like 5 years late.. but at 13:49 how did we get the numerator 3 in the number 3 to the 3/6 power.. I’m confused on that

  • @Andresseus
    @Andresseus 4 года назад

    At 5:45 it would've been more intuitive to say to envision a cube with the surface area of "8" or Cube Area = 8 units, ...when you say "something" x "something" x "something" it because like a mantra without application.

  • @nattyvog
    @nattyvog 12 лет назад

    its just for better communication, you could also but put one at the end but you have to put a multiplication sign (times sign y)

  • @leytonv.3269
    @leytonv.3269 7 лет назад

    Hate to throw my teacher out, but this teacher is so well at describing these things, I’m a freggin Freshmen in high-school doin this stuff in Algebra 1. Anyways, good explaining man!!

  • @ibrahimamanullah9840
    @ibrahimamanullah9840 8 лет назад +1

    wish our teachers would teach it in this fun way

  • @chrismallory1167
    @chrismallory1167 4 года назад +1

    Magic. But imagine teaching this in a ghetto inner city school while breaking up fights between roots and exponents

  • @pizzagirl9908
    @pizzagirl9908 10 лет назад +2

    such a great teacher!!

  • @BigTex9752
    @BigTex9752 8 лет назад

    Freakin life saver,I really wish you were my math teacher

  • @NA-kt4wu
    @NA-kt4wu 5 лет назад

    I learned this in algebra 1. It's fairly easy once you recognize your index and radicand.

  • @AestheticMat
    @AestheticMat 9 лет назад

    @yaymath Thank you so much, this video helped me understand ration exponents far more than my teacher was capable of teaching in class.

  • @saraebernal9928
    @saraebernal9928 5 лет назад

    Great teacher..He refreshed exponents for me.

  • @tiffanysmith3114
    @tiffanysmith3114 11 лет назад

    You make the problems really easy and simple to understand unlike my algebra 2 teacher thanks for the video 👍

  • @nyfbby10
    @nyfbby10 11 лет назад +5

    That intro though lool... ..Brilliant teacher!!!

  • @tarab4617
    @tarab4617 9 лет назад

    Thank you for these videos. My college math classes are online through Aleks, and his lack of verbal explanations has been driving me crazy. It basically shows you an example, then figures you understand, and then gives you a completely different problem that has not been explained. Finals are in 2 hours and I'm finally understanding what this stupid program has been trying to tell me about radicals.

  • @RoninSama.official
    @RoninSama.official 8 лет назад +2

    4throot of 5 and square root of x, can we still simplify it? like putting both in a single radical sign leaving y out?

  • @yasmins.6068
    @yasmins.6068 6 лет назад

    Fun teacher, funny also and gets the point across. Awesome.

  • @Legendary_legacy4
    @Legendary_legacy4 7 лет назад

    Great Lesson for me in preparation for the GRE. Thanks I learned a lot from this.

  • @marccarpenter1456
    @marccarpenter1456 9 лет назад

    Enjoy watching your videos. You do a great job of engaging your students. Out of curiosity, what grade are you teaching in this video? Thanks.

  • @isaiahdelacruz1477
    @isaiahdelacruz1477 7 лет назад

    Thank you, I actually learned something not in class AND I found it fun, Great job!

  • @KhawlaM
    @KhawlaM 11 лет назад +5

    Wish I had you bak in high school ! Ur amazing !!

    • @KhawlaM
      @KhawlaM 11 лет назад

      ***** I wish he taught me idc wat he wears

    • @KhawlaM
      @KhawlaM 11 лет назад

      ***** I never heard of him

  • @rayirthsivakumar8202
    @rayirthsivakumar8202 6 лет назад

    Look at the time 15:24. Why wouldnt you divide 3/3=1 in the final answer

  • @yotoni193030
    @yotoni193030 11 лет назад

    THANK YOU! THANK YOU! THANK YOU! Loved his style!

  • @dobitdobit9981
    @dobitdobit9981 3 года назад

    Kooolll: but I suggest starting with the introduction of the laws of indices ...which has the core inherent of the formulas

  • @lonalana6054
    @lonalana6054 11 лет назад

    Very lovable and friendly teacher .i hope you were my math teacher !!!!!! please download free math video .thanks .

  • @M4pster
    @M4pster 9 лет назад +1

    I didn't come here to learn. This was just really entertaining to watch.

  • @bueyescowboy
    @bueyescowboy 8 лет назад +1

    Dear Mr. Mathematician, while doing 8 rooth of 81 and 6 th rooth of 3 while simplifying, it came up with a numerator of 3 and denominator of 3, I was thinking that would become 1....apple over apple = 1 house over house =1 3 over 3 = 1...yet you said it = 3. I believe you but that was my thought as you were simplifying the problem.......so I was thinking it simplified to 1 and 1/3. I know ....i shouldn't think to much.....love your teaching style....

    • @MysteryMusketeer
      @MysteryMusketeer 6 лет назад

      It doesn’t simplify to 1, because there are exponents for example 2^4/2^2=16/4=4 here we see that the answer is equal to 2^2=4. If you did it your way it would be 1^2 and that would just equal to 1 you need to keep the original number even though you’re dividing because they have different exponents

  • @EvanSuGaming27
    @EvanSuGaming27 8 лет назад

    I'm a seventh grade algebra 1 student and u just saved my finals grade

  • @Kurttheburt
    @Kurttheburt 4 года назад

    Thank you for your videos helping me relearn Algebra to help my cousin with her homework ✌

    • @yaymath
      @yaymath  4 года назад

      Happy to help!

  • @MoneyOverFame
    @MoneyOverFame 9 лет назад

    "One mo". Lol, Great vids man. I'm binge watching your vids right now , preparing for finals. Wish me luck !

  • @stacyxxy
    @stacyxxy 10 лет назад

    Can you do more problems with negative exponents?

  • @jrc171974
    @jrc171974 8 лет назад

    Easy to understand and he is drop dead gorgeous!

  • @deepmazumdarsworld4589
    @deepmazumdarsworld4589 4 года назад

    U r a miraculous teacher .🔥

  • @MrVpassenheim
    @MrVpassenheim 7 лет назад

    You, sir, are excellent!

  • @siromirathnayake1786
    @siromirathnayake1786 5 лет назад

    sir your teaching method is great

  • @Sundertalesz
    @Sundertalesz 8 лет назад +1

    Wow! entertaining and informative, thank you.

  • @ReyJay44
    @ReyJay44 8 лет назад

    You're Great at what you do!

  • @ghostradiodelete
    @ghostradiodelete 8 лет назад +1

    With the final problem in this lesson, I noticed a really quick way to arrive at this after seeing the multiplication by say, the 1/8th power. The 8th root of y^8 is y because 8/8 = 1 so that's just y, and the 8th root of x^4 is 8/4 = 2 is the sqrt of x, and the 8th root of 5^2 (kept under the radical this time) is 8/2 or 4, so 4th root of 5.
    That might not explain what's going on, but it's really fast way to break things down, at least for me. If this is horribly wrong then I banish myself from the math dimension and enter the shame dimension. D=

  • @MrTenzn
    @MrTenzn 6 лет назад

    3:23 that priceless facial expression love this guy

    • @whalestailz
      @whalestailz 5 лет назад

      "that is notttt how any of this works " xD

  • @1KevinsFamousChili1
    @1KevinsFamousChili1 10 лет назад

    my teacher likes to change the names of things if she doesn't like the real name! it's so annoying! she calls rational exponents "Prime Base". I was struggling with this and it took me ages to find videos about it to help because i wasn't searching the right name. Great video!

  • @nellhenry5699
    @nellhenry5699 6 лет назад

    I've got a question, how did you get the bottom number 6√3?

  • @abdulshaikh-jp1lo
    @abdulshaikh-jp1lo 3 года назад

    bro i fell like u are living the fullest of your life

  • @azteccurses3263
    @azteccurses3263 7 лет назад

    Dude thanks for the videos man it helped me a lot

  • @telemmatry
    @telemmatry 10 лет назад

    For that last problem wouldn't it be y(4th root)[5x^2]? Couldn't you square the x and combine it with the 5?

  • @rifatkarim6884
    @rifatkarim6884 11 лет назад +23

    I WILL FIND YOU AND MAKE YOU MY TEACHER :)

    • @jonstargaryen2182
      @jonstargaryen2182 7 лет назад +3

      Im sorry but that sounds kinda sexual u know wut i mean

    • @shadowbane7401
      @shadowbane7401 6 лет назад

      @@jonstargaryen2182 ya kinda rapey

    • @cjrtb
      @cjrtb 6 лет назад

      Not reallly!

  • @gohanwanabe
    @gohanwanabe 8 лет назад +1

    love his videos are also very benifitial

  • @whittm2931
    @whittm2931 7 лет назад

    This has helped me so much!

  • @drrskushwah4674
    @drrskushwah4674 5 лет назад

    Thank u sir.maths is to b taught like this.students enjoy your videos

  • @zackhamburger251
    @zackhamburger251 5 лет назад

    Great video, I'm in 6th grade and I understand alot of it.Thank you!

  • @fionagepilango871
    @fionagepilango871 8 лет назад +1

    Thank you so much! God bless you :)

  • @blip7882
    @blip7882 10 лет назад

    you are an amazing teacher ,god bless you

  • @wizardsrcool4862
    @wizardsrcool4862 9 лет назад

    wow this really did help thanks!

  • @faithisabel25
    @faithisabel25 10 лет назад +7

    I'm under your spell :-) Thank you for posting. Salamat :-)

  • @flyfisherman1997
    @flyfisherman1997 12 лет назад

    I love that he points out the students that look confused. Most teachers are like: Any questions? *looks around and ignores overly confused students* Alright, moving on.

  • @RayMysteryo
    @RayMysteryo 10 лет назад +30

    i didnt know you could be 6'7 and a math teacher at the same time

    • @yaymath
      @yaymath  10 лет назад +38

      RayMysteryo 6'3" but who's counting? lol

    • @RayMysteryo
      @RayMysteryo 10 лет назад +31

      yaymath well you are the math teacher so i guess its you

    • @doom324ful
      @doom324ful 10 лет назад +3

      RayMysteryo nice come back

    • @malicious1908
      @malicious1908 9 лет назад

      +yaymath can you come to Taft and be my math teacher

    • @courtneyellis2578
      @courtneyellis2578 8 лет назад

      this is cool

  • @dillyk8740
    @dillyk8740 10 лет назад +1

    Thank you, you helped me a lot...

  • @partlyslush6365
    @partlyslush6365 4 года назад

    man how the years have changed