Simplify rational expression using the rules of exponents

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  • Опубликовано: 5 сен 2024
  • 👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerator with the term in the denominator.
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    Organized Videos:
    ✅Simplify Using the Rules of Exponents
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Power Rule
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Product Rule
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Quotient Rule
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Learn About
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Power Rule with Negative Powers
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Quotient Rule
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Product Rule
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Multiply Rational Expressions
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Divide Rational Expressions
    • Simplify Using the Rul...
    ✅Simplify Using the Rules of Exponents | Add Subtract Rational Expressions
    • Simplify Using the Rul...
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    👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
    #Simplfiyexpressions #rulesofexponents #brianmclogan

Комментарии • 317

  • @leevictor9016
    @leevictor9016 3 года назад +336

    Learned more from you in 1 minute 45 seconds than I did throughout the entire 8th grade year.

    • @beboelsamanoudygames5921
      @beboelsamanoudygames5921 3 года назад +13

      i want to kill myself

    • @kuromisarcade3725
      @kuromisarcade3725 3 года назад +8

      That just means you’re smart, bcuz pre algebra is the norm at my school for 8th grade

    • @fizzion850
      @fizzion850 2 года назад +1

      @@kuromisarcade3725 we learn this first then pre-algebra where i go to school

    • @biplobchaki6374
      @biplobchaki6374 2 года назад

      ruclips.net/video/j70ggj6yn7k/видео.html

    • @dedbredz7716
      @dedbredz7716 2 года назад +6

      @@kuromisarcade3725 I’m in Algebra 1 and in seventh grade ☹️

  • @amyvollick2628
    @amyvollick2628 5 лет назад +713

    Everytime i look up a math vid this guy always pulls thrugh

  • @AngieMusicArt
    @AngieMusicArt 5 лет назад +107

    Not sure why some instructors make extra long explanations, then they say if you have a question quicker than you can even develop the questions before moving on. This was great learned more in 7mins than 1 hour plus in class 😅. Nice work!,

    • @wyattb8217
      @wyattb8217 Год назад +1

      I learn more from youtube compared to my class and I have a good teacher.

  • @TheUnshippedcorpse
    @TheUnshippedcorpse 3 года назад +29

    I breezed through math in school no problems and enlisted in a math heavy technical field, thought I was pretty solid on math till several years later going back to school soon and started looking over practice tests and realized I memory dumped everything I didn't regularly use, glad I started early on brushing up and feel soo fortunate to find helpful videos like these!

  • @fett1184
    @fett1184 3 года назад +7

    OMFG! I literally spent 73 dollars yesterday for someone to tutor me on this and you just taught me what she couldn't in 1 min and 36 sec!!!!! I LOVE YOU!

  • @syd4793
    @syd4793 5 лет назад +110

    Thank you so much! I have a test tomorrow and I still don’t get it 100% but I understand it more than I did.

    • @pink3984
      @pink3984 Год назад +3

      this is late but how did it go😂

    • @syd4793
      @syd4793 Год назад +4

      @@pink3984 i don’t really remember lol but i graduated so i think good

    • @pink3984
      @pink3984 Год назад +3

      @@syd4793 I thought u wouldn’t respond lol but thanks for responding

  • @grantcantrill665
    @grantcantrill665 5 лет назад +26

    Your exponent videos have helped me so much in algebra this year. I am thankful for RUclips because I wouldn’t be able to survive high school without it, especially since my algebra teacher doesn’t understand how to properly teach a class. Thank you so much.........

  • @vishalbaskar3876
    @vishalbaskar3876 3 года назад +18

    you are the only reason I am passing algebra this year. Never stop making videos! you are a great teacher. First time I actually smiled learning the rules of exponents lol

  • @elijahsassercollins3685
    @elijahsassercollins3685 5 лет назад +181

    8th-grade math is so hard man not looking forward to the test tomorrow at least I know my stuff

    • @piano_lore4362
      @piano_lore4362 4 года назад +58

      Dont worry it gets harder

    • @jacqueline6780
      @jacqueline6780 4 года назад +12

      wait til highschool

    • @turbofoams
      @turbofoams 4 года назад +20

      8th grade math is child's play wait until you get into 11th it is ten times harder

    • @stabbocrabbo8282
      @stabbocrabbo8282 4 года назад +4

      I'm in IM 6 and learning this stuff.

    • @divine1787
      @divine1787 4 года назад +4

      @@jacqueline6780 Where I live, high-school starts with grade 8

  • @TheWarCorrespondent79
    @TheWarCorrespondent79 2 года назад +7

    I still can never figure out why most math classes aren’t taught in this format. I just absorbed more information in this eight minute video than I did in an entire semesters worth of Algebra in Freshman year. I wish more teachers taught in this format. It is much more digestible.

  • @anajahmiller2003
    @anajahmiller2003 2 года назад +5

    I have basically been out of it all of math class but I thought i understood, then I go todo my homework and I’m very wrong. I have taken it into my own hands to figure it out in a less confusing way then I was taught. I felt so powerful actually knowing what to do next! My favorite part was when you split the numerical values from each of the exponents, it helped give me a new perspective, Thank you!

  • @tornadoknight3996
    @tornadoknight3996 2 года назад +15

    This was more informative than all of my high school and college explanations. Loved how simple you made it to understand.

    • @brianmclogan
      @brianmclogan  2 года назад +5

      So happy to be able to help you out!!

  • @isad4628
    @isad4628 3 года назад +7

    I’m five years late, i know, but i have a test tomorrow about this and other stuff. I understand it all except for this, but i now understand it after watching your video! Thank you so much, it really helped.

    • @zahraasibaii4265
      @zahraasibaii4265 3 года назад +2

      I'm studying for online lol I literally forgot everything

  • @ashleyr4702
    @ashleyr4702 4 года назад +2

    I stopped learning algebra a few years ago and now i'm "refreshing" my memory trying to learn it again. I just found this video and it's great. I learned pretty quickly but i'm still confused on the 2nd and 3rd problems of the video when he rewrites the negative exponents as positive. That part was confusing when he puts the 1 on the denominator and when he simplifies the problem to get the answer. Anyway, I'm glad I found this video to help me out. :)

  • @kingabrazado4257
    @kingabrazado4257 6 лет назад +13

    thank you for these examples it really help me a lot because I am really confuse when the exponent in the denominator is higher than the exponent of the numerator

    • @brianmclogan
      @brianmclogan  6 лет назад +7

      gotcha, yea it takes some practice, keep working at it, it will get easier

  • @AcceptableBread
    @AcceptableBread 3 года назад +1

    This video saved me.... I've been struggling in College Algebra and this has been EXTREMELY helpful- thank you!

  • @Brohammed94
    @Brohammed94 6 месяцев назад

    You broke it down so well! I just would hope that ETS would give easier exponent questions in standardized testing. They make everything so complicated!!!

  • @corinnemarkham7012
    @corinnemarkham7012 4 года назад +1

    This morning I had a small meltdown over being stuck on this material. This video just helped me *so much*. It's starting to click. Thank you!!

  • @stabbocrabbo8282
    @stabbocrabbo8282 4 года назад +1

    My teacher was teaching in a more confusing way- I like that this guy makes the methods easy.

  • @angelasagingessentials6338
    @angelasagingessentials6338 Год назад

    College math at 43 is tough.. every time I’m struggling this is where I come.. your calling in life is definitely teaching Math.. you have helped me more than you know and I’m so thankful for you taking the time to share all these helpful videos with all of us.. Thank you

    • @brianmclogan
      @brianmclogan  Год назад

      So happy to be there for you!! Keep up the great work

  • @strikeobama9071
    @strikeobama9071 4 года назад

    if only all our teachers were as patient and clear and thorough as brian

  • @ralftech897
    @ralftech897 5 лет назад +60

    When a University teacher doesn't teach you this in class and gives you a quiz the next day... So you wake up after high fever at 3am and go on RUclips to learn this stuff. #webassignsucks #tuitionscam #paidtuitiontoteachmyself

    • @Cashadiix
      @Cashadiix 5 лет назад +4

      Ralf Tech fuck school

    • @user-el6lt8fr3x
      @user-el6lt8fr3x 5 лет назад +1

      Ralf Tech for real. My freshman teacher never taught me any of this, so when I started sophomore year, my math teacher gave me a crap load of assignments based on this even though he never taught us it as well. What gives??

    • @i0mliltay999
      @i0mliltay999 4 года назад +7

      BROO I’m learning this in 8th gradeeee

    • @mediumsizedmammal
      @mediumsizedmammal 4 года назад +3

      Bullshit. I'm in algebra 1 and my teacher taught us this. I'm only here because I have a test in 2 days and I don't understand

    • @riley1774
      @riley1774 4 года назад +1

      Taylor Green i’m in 10th grade and barely learning this stuff

  • @vanessaarmijochahin7551
    @vanessaarmijochahin7551 5 лет назад +3

    Awesome explanation for IB students! Thank you!

  • @Muthana500
    @Muthana500 3 года назад +1

    Finally I am able to teach my son properly.... thanks mate

  • @Ka3ru-vo8we
    @Ka3ru-vo8we 8 дней назад

    Thanks. My freaking math teacher assigned me a whole packet of work to do over the summer and I always forget a ton of things when it comes to math. I watched a ton of your videos completing it. 👍

  • @ohheyfullmetal
    @ohheyfullmetal Год назад

    Missed out on this during 8th grade because of covid. We’re using it now in 11th, but she assumed we already learned it. You’re the only reason I’m passing. Thank you.

  • @olive1456
    @olive1456 Год назад +1

    Once again you have saved my sorry behind from failing algebra.

  • @giana4440
    @giana4440 3 года назад +2

    The way you explained this better in 8 minutes than my algebra teacher did in 45...

  • @japijo6554
    @japijo6554 4 года назад +20

    Well I just saw an Ad telling us that yt math vids aren't good

  • @Samo-wi8qq
    @Samo-wi8qq 2 года назад +1

    You are an amazing teacher. Thank you

  • @5kbbyy
    @5kbbyy 3 года назад +1

    I loved the exponential M&M's he had there for a second (7:09)

  • @vincentxie3090
    @vincentxie3090 2 месяца назад

    I'm currently in 10th grade but I'm a little confused with these sorts of math problems, so I came to this video just to helped me understand them better. Thanks a lot

  • @morgannixon9812
    @morgannixon9812 4 года назад +1

    THANK YOU! using this for special education students.

  • @just_melissa1087
    @just_melissa1087 3 года назад +3

    I am struggling in year 8. So this really helps

    • @Emmajp0
      @Emmajp0 3 года назад

      year 8 was really hard for me too, you get the hang of it after a while, I'm in year 10 right now 😅

    • @pde445
      @pde445 2 года назад

      algebra rip

  • @UnquietPen
    @UnquietPen 3 года назад +1

    On problem 2, why did you multiply 1/3 for Y too? Isn't the1/3 the variable for X? Thanks in advance.

    • @deankaraniya7422
      @deankaraniya7422 2 года назад +1

      axy is the same thing as a * x * y which is the same thing as a * y * x and so on.

  • @strawberrybob7488
    @strawberrybob7488 4 года назад +1

    man brian mclogan saves me every single time

  • @jamesderek2516
    @jamesderek2516 2 года назад

    Well this one is the shortest in much simpler video that was explained more than 10 mins. sometimes 1 hour. Thank you so much for this video I really appreciate it

  • @vladproductions1719
    @vladproductions1719 3 года назад +4

    POV: Your in 8th grade and the algebra 1 eoc is in a few weeks, and even though you participated and did everything you needed to do you still couldn't really grasp the basics of algebra when taught.
    Edit: I just finished the EOC :D. It was kind of challenging but I knew the majority of material

  • @Kai-vd2hw
    @Kai-vd2hw 4 года назад +1

    Thank you soooooooo much! I had no idea what I was doing before this. Ur the best!

  • @chrissystewart6268
    @chrissystewart6268 2 года назад +1

    Thanks Teacher I never learn this when I was in school. My goal get my GED ( or you can say High School Diploma) I'm ready to get my high school diploma 🎓

  • @TezBTW765
    @TezBTW765 3 года назад +1

    I wish Brian Mclagan a very nice evening

  • @xclusivelystupid452
    @xclusivelystupid452 5 лет назад +1

    I could get through high school and college JUST with this guy

    • @sadiemaxfield7566
      @sadiemaxfield7566 3 года назад

      This is how im getting through covid school lol ;-;

    • @LaKimAnahi
      @LaKimAnahi 3 года назад

      Sadie M :D same I have my algebra EOC in an hour I’m about to leave for school!

  • @austinedwards5323
    @austinedwards5323 3 года назад

    you are a life saver. I watched this video right before my test and there was a question just like this.

  • @jacobsulda392
    @jacobsulda392 2 года назад +1

    Came in clutch for finals, great video

  • @jin_cotl
    @jin_cotl 3 месяца назад

    It’s the
    Quotient property of exponents
    and
    Product property of powers.
    I feel like being more specific about it would be helpful in the videos

  • @fatemakarim1959
    @fatemakarim1959 4 года назад +2

    Thank you for the video! Real helpful. However, in the 3rd example isn't the answer 2/3b? Because I think you forgot to apply the reciprocal for it in order to make "b" positive.

  • @alexanderwolverton7797
    @alexanderwolverton7797 Год назад +1

    Thank you so much my teacher makes everything more confusing than it needs to be your are the reason my math grade is an A

  • @AnaHernandezMisha
    @AnaHernandezMisha 3 года назад +1

    I wish that this kinda of videos existed when i was in school 😭

  • @iamcheeto.3959
    @iamcheeto.3959 5 лет назад +2

    Thanks I understand now

  • @angeloturri6707
    @angeloturri6707 3 года назад

    THIS MAN IS A LEGEND I KNOW MORE FROM HIM THAN MY ACTUAL TEACHER LITERAL LIFESAVER THANK YOU

  • @redstoyotarunnerwithstri-hp9gm
    @redstoyotarunnerwithstri-hp9gm 4 года назад +2

    i like how they left the solutions up after he got off camera, so we could take a screen image

  • @injung7485
    @injung7485 4 года назад

    Thank you so much I struggled a lot with this particular subject and I got a test tomorrow and one of the topics is this, now i have a much better understanding of this topic thank you:)

  • @caolanpolgar9190
    @caolanpolgar9190 3 года назад

    First time a video acc helped me understand maths. genuinely thank you

  • @jivelydavid785
    @jivelydavid785 5 лет назад +6

    Omg you are an amazing teacher!

  • @lanjiaojiaozhu2745
    @lanjiaojiaozhu2745 3 года назад

    Sorry to interrupt with this question.....
    There is this branch of mathematics that deals with large number. (when we write cube of 2, we wrote a superscript-3 on the right hand side of 2) For these numbers, the superscript-3 is written BEFORE on the left hand side of 2.
    What is this branch of mathematics (i watch some youtubes on it, and subsequently forgotten about the terminology)

  • @darkenchantresscookie7754
    @darkenchantresscookie7754 3 года назад

    I have a unit test tomorrow and I hope this will help..

  • @pluto3603
    @pluto3603 Год назад

    the sound of the marker tapping is so satisfying

  • @erendiraflores8160
    @erendiraflores8160 3 года назад +1

    thank you for making these videos you explain it so well!!

  • @pizzatc0165
    @pizzatc0165 4 года назад +10

    Who else forgot and is just reviewing

  • @jackhorodiski5394
    @jackhorodiski5394 3 года назад

    this is so useful my teacher was explaining it so different and this makes so much more sense thank you Mr. McLogan

  • @jackjeff8541
    @jackjeff8541 2 года назад

    He sure had a lot of fun simplifying those!

  • @valinks3972
    @valinks3972 2 года назад

    Thank you so much, I've been struggling with this topic for a long time.

  • @tutorchristabel
    @tutorchristabel Год назад

    thanks for sharing

  • @liveit165
    @liveit165 2 года назад +1

    You are the best man ❤️

  • @jsoles3668
    @jsoles3668 Год назад

    These videos 🙏 Saving my Algebra grade

  • @banzai675
    @banzai675 3 месяца назад

    Thanks Professor Jamal Murray

  • @rodrigosinggca2742
    @rodrigosinggca2742 Год назад

    Sir can you the Finding The LCD og Rational Algebraic Expression

  • @d.savage1508
    @d.savage1508 Год назад

    On the last problem, why couldn’t you subtract and flip like the one before? So I got 2m5/3n instead of 2m9/3n5?

  • @kaverajohannes2529
    @kaverajohannes2529 Год назад

    The last part! How did you group the ns and ms cos in the question nm and mn!

  • @sindisiwedynamite
    @sindisiwedynamite Год назад

    Thank you very much sir. THANK YOU!!😁

  • @liamtaylor6725
    @liamtaylor6725 2 года назад +1

    i really wish i had this man as my math teacher

  • @ducklirik
    @ducklirik 3 года назад +6

    Can’t believe I have to do this. The most useless crap ever.

    • @pde445
      @pde445 2 года назад

      algebra be like

  • @chrissystewart6268
    @chrissystewart6268 4 года назад +2

    I wish you was my teacher I never learned this when I was in school

  • @drzy913
    @drzy913 4 года назад

    Thanks for the help this will definetly help me in my midterms!

  • @kurtking8979
    @kurtking8979 Год назад

    bro does everything so clearly better then my math teachers

  • @sarahjohnson5975
    @sarahjohnson5975 5 лет назад

    Thank you delta math explanations were really tripping me up but you really made it clear great job

  • @justinburrow3588
    @justinburrow3588 3 года назад +1

    Thanks alot man this helped me so much

  • @alexaimperial2348
    @alexaimperial2348 3 года назад

    Thank you so much. Good examples.

  • @vincentortega4284
    @vincentortega4284 3 года назад

    Thanks, great explanation for review

  • @oliviaharris6829
    @oliviaharris6829 Год назад

    8 yrs later and this man is still helping people pass😭

  • @nikkiej.5875
    @nikkiej.5875 4 года назад

    This was very easy to understand. I get it now. 👌

  • @arefinmahmood853
    @arefinmahmood853 4 года назад

    Thank you for the effort. It made the thing soooo easy...

  • @rheaberto1466
    @rheaberto1466 5 лет назад +1

    Thank you sir for this awesome vid. Very clear explanation! Tc sir!

  • @KodeArtss
    @KodeArtss Год назад +2

    bros a hero

  • @ccaruso8293
    @ccaruso8293 2 года назад

    Good logical explanation

  • @AddisChess16985
    @AddisChess16985 2 года назад +1

    Congra! for reaching 1M subscribers.

  • @ainsleyhopkins4835
    @ainsleyhopkins4835 5 лет назад +1

    Really helpful thanks I understand know!

  • @barth4891
    @barth4891 Год назад

    You're very good 👍

  • @kaisewhuk-thomas2561
    @kaisewhuk-thomas2561 3 года назад +1

    Thanks man, this helped a lot.

  • @MasterSelf-
    @MasterSelf- 3 года назад +5

    imagine sitting in class with him then watching him at home for homework.

  • @ashleym.4250
    @ashleym.4250 5 лет назад +2

    dude u are a legend

  • @hxocreates4897
    @hxocreates4897 5 лет назад +6

    mr.clean

  • @heavenlykizzy4344
    @heavenlykizzy4344 2 года назад

    Thank you so much this was helpful

  • @jadynningram2239
    @jadynningram2239 Год назад

    Tysm I have been struggling your helping me soo much❤

  • @Abby-ry8qo
    @Abby-ry8qo 3 года назад

    What if the numerator has more numbers than the denominator, Am I gonna subtract the numerator to the denominator or I just won't do it anything about it?

  • @Fmacian59
    @Fmacian59 4 года назад

    Eres un buen profesor.

  • @jehanal-hayali9131
    @jehanal-hayali9131 Год назад

    absolutely helpful thank you

  • @samarthsubramanyamr3310
    @samarthsubramanyamr3310 Год назад

    Brian Mclogan more like Brain Mclogan

  • @reidstemberger8060
    @reidstemberger8060 3 года назад

    thank you so much

  • @JP-vu8hu
    @JP-vu8hu 2 года назад

    Thanks🙏