01 - Simplify Rational Exponents (Fractional Exponents, Powers & Radicals) - Part 1

More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn what a rational exponent is and how to simplify expressions with rational exponents. A rational exponent is just an exponent that can be written as a fraction. First, we describe how rational exponents can be written in terms of a radical expression. Next, we solve many problems where we must simplify the expression and write the answer either in rational exponent form (fractional exponents) or as a radical expression.

Пікірлер: 140

  • @lilysann4012
    @lilysann40122 жыл бұрын

    f**cking one-handedly saved me and my midterm grades for algebra , thank u sm sir

  • @TheGuncage
    @TheGuncage4 жыл бұрын

    my teachers were never this good, i am 53 and watching you do this brings back memories, bad memories, i will watch everyone of your videos to get better educated, your a great teacher.

  • @Ace-rh4nd

    @Ace-rh4nd

    3 жыл бұрын

    Donald Turnipseed “bad memories” way to go grandpa

  • @Ladykat138

    @Ladykat138

    2 жыл бұрын

    I totally agree!!

  • @sanskrit1000

    @sanskrit1000

    2 жыл бұрын

    Good

  • @dianasimeon1386

    @dianasimeon1386

    Жыл бұрын

    Agree. I am in my 40 s going back to school. This teacher is the best

  • @aurabilaos2105

    @aurabilaos2105

    Жыл бұрын

    👏

  • @aurora.s17
    @aurora.s17 Жыл бұрын

    We've been going over this for two days and I've never been so lost. Thank you for such a thorough explanation!!😭

  • @ChrisChrisChris3
    @ChrisChrisChris3 Жыл бұрын

    Thank you so much for all of the energy that goes into these videos. Know that you're appreciated!

  • @angelali5502
    @angelali55024 жыл бұрын

    Love it how you recap the knowledge so everyone’s on the same page. Very well done, thank you!

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Thanks so much!

  • @excellNexcel
    @excellNexcel4 жыл бұрын

    I have his earlier videos and he is by far the best math teacher on the Net.

  • @Oceanrex

    @Oceanrex

    3 жыл бұрын

    It's better than Khan Academy's video. Edit: I meant to say that it's better then both of their videos.

  • @leeannhdz5823
    @leeannhdz58233 жыл бұрын

    Re-taking my math test (GED) tomorrow morning- Math and Science, your videos over math have helped me understand this subject tremendously.

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Good luck on the test!

  • @ahmedhosary6325
    @ahmedhosary63254 жыл бұрын

    It takes a bright man to make a math concept that easy and simple. My thanks to you for all your videos are to the power of one million

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    You're very welcome!

  • @tanelkagan
    @tanelkagan3 жыл бұрын

    Congratulations, this is probably the most comprehensive (yet understandable) video on fractional exponents I have seen. In particular, it's nice to see that you didn't skip over (as is often the case) the fact that the "root then power" approach yields the same result as "power then root", and what's more you actually explained why this is the case due to the commutativity of multiplication. Nice one!

  • @naomiokane9991

    @naomiokane9991

    2 жыл бұрын

    B Bbb B

  • @Mirpurmad
    @Mirpurmad6 ай бұрын

    revising all this and recalling it since I last studied it 35 years ago . to help my son do these questions. thanks for sharing it was fun

  • @wakefieldyorkshire
    @wakefieldyorkshire3 жыл бұрын

    Such a lot of thought has gone into making this lesson, to make it easy to understand.

  • @likesmusic11
    @likesmusic112 жыл бұрын

    When I need a detailed explanation for math... if I can't find this professor, then I try to figure it out on my own... luckily I have not had to do it on my own. He's great!!

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thanks so much!

  • @ProfeJulianMacias
    @ProfeJulianMacias Жыл бұрын

    I like the way that you are teaching Mr. Thank you

  • @mamakaymakhetha4085
    @mamakaymakhetha40853 жыл бұрын

    I am so thankful that I found you... The best Maths lessons ever...

  • @khalilfuller4939
    @khalilfuller4939 Жыл бұрын

    You know you’re doing something right when a viewer is watching over 24hrs of videos

  • @DavidPeppard-pz6du
    @DavidPeppard-pz6du Жыл бұрын

    I spent so much time getting these answers wrong. Thank you so much for this video!

  • @noosa440
    @noosa440 Жыл бұрын

    Wish u were my math teacher because you actually explain how to do this step-by-step…thank you so much for this video because I pretty much had to teach myself how to do this.

  • @adamabraham1005
    @adamabraham100510 ай бұрын

    Great teacher and strong personality

  • @davidball7712
    @davidball771210 ай бұрын

    This man is a great math teacher.

  • @kevinjones238
    @kevinjones238 Жыл бұрын

    Amazing explanation of seemingly complex concepts.

  • @paulmcgarry7745
    @paulmcgarry77458 ай бұрын

    Thank you this is brilliant and explained perfectly. This has me stumped: S/So = 1 - (1 - e^-0.92D)2 (Where S = 100 & So = 10 find D). Help anyone

  • @deborahallyjoseph7805
    @deborahallyjoseph7805 Жыл бұрын

    Fabulous explanations and variety of problems

  • @tajudeennoah9948
    @tajudeennoah99483 жыл бұрын

    You are the best we've got on net, more power to your elbow sir!

  • @muhammadsteinberg
    @muhammadsteinberg Жыл бұрын

    Excellent explanations...

  • @XtechOrg
    @XtechOrg3 жыл бұрын

    Superb explanation

  • @shrudayie
    @shrudayie4 жыл бұрын

    This video is such a huge life saver tysm. there were so many things confusing from this topic but this one video made everything crystal clear. Thank you again

  • @mehmetmuratergun
    @mehmetmuratergun Жыл бұрын

    thank you. best of all for fractional exponent. greetings from turkey.

  • @kristianhanser5887
    @kristianhanser58872 жыл бұрын

    Your videos help so much, Thankyou. I have learnt in 5 minutes, what I couldn't get through my head in 2 days of reading a text book and doing questions!

  • @kelee5490
    @kelee54902 жыл бұрын

    Thank you so much for the clear explanation and giving enough examples make it easier to understand.

  • @realms7267
    @realms7267 Жыл бұрын

    you explain this so much better than my teacher this is gonna help so much for my exams thank you 🙏

  • @MilooRMir
    @MilooRMir3 жыл бұрын

    Thanks for this amazing lecture. I hope it’s gonna help millions of students.

  • @mildz2gaming919
    @mildz2gaming9192 жыл бұрын

    I didn’t knew about the negative exponent, thanks so much!!

  • @vercimalle_0515
    @vercimalle_05153 жыл бұрын

    Hi sir! Your my fave math teacher now! ❤

  • @phamphiliaphamphilia2045
    @phamphiliaphamphilia20453 жыл бұрын

    BEST teacher ever

  • @julioagosto3544
    @julioagosto35442 жыл бұрын

    Excellent teacher thank you for doing these videos your awesome I’ve learned so much from you.

  • @simonnganga4599
    @simonnganga45993 жыл бұрын

    He is very good in explaining..thanks

  • @opsg742
    @opsg7422 жыл бұрын

    Nice and simple explanation

  • @ghulamasghar5497
    @ghulamasghar54974 жыл бұрын

    Dear Math and Science, Absolutely fantastic! I'm resolved to watch all of your videos on Algebra. Kindly advise, in which order should I watch your videos? Kindly let me know according to the titles of your videos. Kind regards

  • @vivienmel7735

    @vivienmel7735

    3 жыл бұрын

    Would love to know this too

  • @jbellon4
    @jbellon42 жыл бұрын

    Excellent! Thankyou, well spoken and very clear 🙏🙏🙏🙏🙏🙏

  • @georgettebeulah4427
    @georgettebeulah44274 жыл бұрын

    This make so much sense I really understand what your saying.

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Awesome! Good luck!

  • @earthblock369
    @earthblock3693 жыл бұрын

    Awesome resource!

  • @loviniadavid9855
    @loviniadavid98554 жыл бұрын

    It is very helpful, thank you😍

  • @kenjansol8290
    @kenjansol82904 жыл бұрын

    This really helped me alot

  • @dangerouspanthers4847
    @dangerouspanthers48472 жыл бұрын

    Thank you so much! Super Organized and helpful. Your a great math teacher.

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thank you!

  • @E33ie
    @E33ie3 жыл бұрын

    Thank you. I now know a simpler way to solve for rational expressions.

  • @jabumthembu422
    @jabumthembu4224 жыл бұрын

    Clearly explained, thank you Sir.

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Welcome!

  • @VeejeeJPawai
    @VeejeeJPawai3 жыл бұрын

    nice explaination sir, I learn a lot thanks👍👌

  • @mancitykshah2737
    @mancitykshah27372 жыл бұрын

    Thank You! This helped so much

  • @asrielkrupp889
    @asrielkrupp8893 жыл бұрын

    Hi Math and Science, what video is part 2? Thanks!

  • @zeroclout6306
    @zeroclout63063 жыл бұрын

    How do i get to part 2 of this series?

  • @onosenokolie770
    @onosenokolie7703 жыл бұрын

    Great vid!

  • @aliyardimoglu5629
    @aliyardimoglu56294 жыл бұрын

    Excellent lecture and approach as always.....

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Thanks so much!

  • @liss-sanedrac
    @liss-sanedrac2 жыл бұрын

    Thanks so much,this has helped a lot

  • @MMPRECISIONPAINTING
    @MMPRECISIONPAINTING2 жыл бұрын

    So what is the logic behind the denominator being equal to the nth root? How does one come to this conclusion? What are the logical steps?

  • @esp384
    @esp3843 жыл бұрын

    I really need help! Is there a video that can help me with a similar equation to (5k^2) ^2/3 • (5k^1/3)^3/4?!?! I’ve been stuck for 2 days and I just don’t understand!!

  • @nmaluqman3408
    @nmaluqman34083 жыл бұрын

    Ideal lessons 👍👍

  • @mariafabiolarealtor
    @mariafabiolarealtor3 жыл бұрын

    great explanation

  • @vishalthapliyal4393
    @vishalthapliyal43933 жыл бұрын

    Thanku sir . My all doubts have cleared

  • @karthikdhupad7756
    @karthikdhupad77563 жыл бұрын

    Thank you sir you are good at teaching

  • @clueless_912
    @clueless_9122 ай бұрын

    ur a life saver!!!!

  • @nitishralhan8169
    @nitishralhan81694 жыл бұрын

    Very impressive way of teaching ,can u come on Udemy like platform? It's easy to consume content being on smartphone

  • @aifevallar5063
    @aifevallar50633 жыл бұрын

    Thank you so much

  • @springdinampo9150
    @springdinampo91502 жыл бұрын

    Hey sir, thank you so much!

  • @Neo-ki7iu
    @Neo-ki7iu3 жыл бұрын

    This guy can teach🔥

  • @sanskrit1000
    @sanskrit10002 жыл бұрын

    Thank you sir

  • @rajunaga9670
    @rajunaga9670 Жыл бұрын

    Thank you sir it interesting and easy

  • @Ace-rh4nd
    @Ace-rh4nd3 жыл бұрын

    Thankyou so much ! U explained it way better than my teacher haha

  • @tresajessygeorge210
    @tresajessygeorge2109 ай бұрын

    THANK YOU... SIR...!!!

  • @majakmajokkhon6770
    @majakmajokkhon6770 Жыл бұрын

    Thanks sir ❤

  • @SunilKumar-qr1rc
    @SunilKumar-qr1rc3 жыл бұрын

    At last I got it lots thanks

  • @AAmit-fv8hn
    @AAmit-fv8hn2 жыл бұрын

    U r magician 💫

  • @sureshidu3119
    @sureshidu31192 жыл бұрын

    Very nice sir🙏🙏🙏

  • @eh597
    @eh5972 жыл бұрын

    Damn, this Guy is GOOD!

  • @math8592
    @math85923 жыл бұрын

    best video sir

  • @mukhtaarjaamac8763
    @mukhtaarjaamac87633 жыл бұрын

    Can an exponent be decimal Or percentage

  • @ezulufaithfrances4297
    @ezulufaithfrances42974 жыл бұрын

    Wow this is called exam made easy thank you so much

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    I really appreciate it! Jason, MathAndScience.com

  • @pramodmoghe9145
    @pramodmoghe91454 ай бұрын

    Exceelentteacher 😊

  • @kevinrivera880
    @kevinrivera8802 жыл бұрын

    What a boss i finally understand it

  • @mohammadali-rp5ds
    @mohammadali-rp5ds Жыл бұрын

    oh my God Brilliant thanks 2 much

  • @nattylam4180
    @nattylam41803 жыл бұрын

    bro you saved me for my test thank you

  • @livedandletdie
    @livedandletdie2 жыл бұрын

    Well, to make it even simpler, a^(-b/c) = a^-b * a^1/c = (1/a^b)^(1/c) so you get 1/(cth root( a^b)) or 1/a^(b/c) And a^b * a^c = a^b+c

  • @thokgamopelontle4584
    @thokgamopelontle45842 жыл бұрын

    Please do 32 to the 2/3 power

  • @oldardinugraha8107
    @oldardinugraha81074 жыл бұрын

    how to calculate if the number 2^3.3 ?

  • @chair8401

    @chair8401

    3 жыл бұрын

    3.3 * 3.3

  • @raela.matete9386
    @raela.matete93868 ай бұрын

    Wow!

  • @ottsomchai791
    @ottsomchai7914 жыл бұрын

    thanks you

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Welcome!

  • @johnpro2847
    @johnpro28472 ай бұрын

    I have been watching and practicing many math problems..I left school over 50 years ago..is it too late?

  • @paulchivasa4494
    @paulchivasa4494 Жыл бұрын

    Our school teachers were very poor now this looks easy

  • @ramadevijagarapu2538
    @ramadevijagarapu25383 жыл бұрын

    Hi uncle I know only English I don't know any language you are telling very nice 😍🥰😍

  • @smartfree7694
    @smartfree76944 жыл бұрын

    👌👌

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Thank you! Jason, MathAndScience.com

  • @hinchasoloka2234
    @hinchasoloka22343 жыл бұрын

    Just take my money Sir i am now a member of math and science 😁

  • @Mirpurmad
    @Mirpurmad6 ай бұрын

    00:20:01 is why I am here :)

  • @spidigongiz4338
    @spidigongiz43382 жыл бұрын

    I'm a bit confused becoz (½)² is ¼

  • @G1GANIGGA9000
    @G1GANIGGA90004 жыл бұрын

    yes, nolage

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Yes!

  • @andrescientos
    @andrescientos3 жыл бұрын

    Positive Exponents begin with (1) line multiplying itself into different shapes with equal sides. A Negative Exponent is the same thing, except that (1) line, instead of multiplying itself, it starts "imploding" in on itself and that's why you write "1 Line Divided by X^5" ...or.... 1/x^5 Positive exponents is growth. Negative exponents are shrinkage. Visit my channel for a geometrical visual, lol.

  • @nuggetx4086
    @nuggetx40863 жыл бұрын

    having my test in 30 minutes i hope i do well :)

  • @ashleybishop3431

    @ashleybishop3431

    3 жыл бұрын

    heyo how did it go?

  • @nuggetx4086

    @nuggetx4086

    3 жыл бұрын

    @@ashleybishop3431 full marks

  • @ashleybishop3431

    @ashleybishop3431

    3 жыл бұрын

    @@nuggetx4086 congrats!

  • @AI_Gladiator

    @AI_Gladiator

    2 жыл бұрын

    nice

  • @Maphip
    @Maphip3 жыл бұрын

    If you are good at surde this will be super easy

  • @liananurka2967
    @liananurka29673 жыл бұрын

    {11÷10}^3÷2 sir please help me

  • @dr.mushtaq8020
    @dr.mushtaq80203 жыл бұрын

    _(2)power 2 = _2×_2 = 4

  • @kevinwalsh7669
    @kevinwalsh76694 жыл бұрын

    Made it

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Thank you! Jason, MathAndScience.com

  • @nikitakelly3410
    @nikitakelly3410 Жыл бұрын

    Nikita is the Best