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Using multiple properties of exponents simplify the expression

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  • čas přidán 16. 01. 2013
  • 👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to each of the exponents of the individual terms of the expression.
    The negative power rule of exponents states that a power with negative exponents is equivalent to the reciprocal of the power with the positive exponent.
    👏SUBSCRIBE to my channel here: www.youtube.co...
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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...
    🗂️ Organized playlists by classes here: / mrbrianmclogan
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    👨‍🏫 Current Courses on Udemy: www.udemy.com/...
    👨‍👩‍👧‍👧 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

Komentáře • 262

  • @azrael6348
    @azrael6348 Před 3 lety +148

    This was 7 years ago but it still shows how this guy can teach us better in 5 minutes than our teacher spending hours

  • @colindement3217
    @colindement3217 Před 5 lety +215

    My teacher takes and hour and 15 minutes a day teaching this to me and I still didn't understand it. This dude in one five minute video made me feel like Einstein

  • @officialalicex4137
    @officialalicex4137 Před 5 lety +697

    I just learned more in 5 minutes than my teacher teaches in a month

  • @JAYLANDS1119
    @JAYLANDS1119 Před 5 měsíci +3

    When someone comments about how this guy helps them to understand better than their teacher does, it doesn’t mean they dont pay attention in class and their not downing their teacher. Mr Mclogan just teaches everything in a specific way that makes so much sense. I always run to this channel when I run across something I need help with.

  • @michaelasuorsa
    @michaelasuorsa Před 6 lety +198

    “That’s why you’re the star student” lmaoo

  • @jai..837
    @jai..837 Před 3 lety +84

    Who else is struggling in these zoom classes rn💆🏾😴

  • @jonathantorres1077
    @jonathantorres1077 Před 6 lety +96

    Dude I’m so thankful you are on CZcams because I just noticed that when ever I don’t understand math I watch you and know it

    • @brianmclogan
      @brianmclogan  Před 6 lety +24

      That is great to hear Jonathan. Happy to be there for you

  • @vibhavarajaguru1894
    @vibhavarajaguru1894 Před 5 lety +107

    DAMN IT ALEX

  • @jasminesmith5447
    @jasminesmith5447 Před 4 lety +8

    Him walking away from the board after finishing the problem was equivalent to someone dropping the mic after spitting some fire bars....he just knew he did that! I'm here for it though because I finally know how to do problems like this because of him. Thanks boss!

  • @PoserDisposer413
    @PoserDisposer413 Před 4 lety +19

    Thank you dude. I'm taking a math course online and the resources have been lacking...this video taught me more in 5 minutes than the pre-recorded lectures ive been watching. An actual example similar to what I've been seeing on my assignments, step by step in plain English. My professor zoomed through the exponent rules using the most primitive examples, then we saw problems like this on the homework and it seemed so foreign as compared to the examples he showed us. This is what I needed!!!

    • @tardigradeplays9167
      @tardigradeplays9167 Před 7 měsíci

      I agree dude I’m on red comet retaking semester two of algebra 1 and this explained something my teacher failed to explain

  • @hannahbellee
    @hannahbellee Před 5 lety +28

    you saved my final grade. thank u so much.

  • @isabellarappaccioli2813
    @isabellarappaccioli2813 Před 3 lety +2

    I'm doing an advanced math course this summer, and there was one unit that I really struggled with. The lady narrating the video took nearly 20 minutes to explain the same concept discussed here, but I still didn't understand by the end of the video. This five minute snippet helped me so much. Thanks!

  • @digitalbrain8632
    @digitalbrain8632 Před 4 lety +8

    So in school I get so confused, but right now I literally understood every single thing I didn't understand, thank you!

  • @spamacc9621
    @spamacc9621 Před 4 lety +7

    i wish every teacher was like this, thank you.

  • @taylorwhite5067
    @taylorwhite5067 Před 4 lety +19

    my teacher taught this a different way and called it a 'shortcut' it was just a 'shortcut' to my confusion

  • @isaiahwinkler7579
    @isaiahwinkler7579 Před 3 lety +5

    I respect this man's side hustle of making CZcams videos

  • @ttfirs4330
    @ttfirs4330 Před 4 lety +16

    bruh this guy is my saviour, i just checked the grade i got on a test about this and i got a 94 :)

  • @Danymok
    @Danymok Před 5 lety +10

    4:08 I was thinking the same thing!

  • @_Free_Thinker
    @_Free_Thinker Před 5 lety +5

    Love your work! Thank you for sharing your lessons with the world. ❤👍😀

  • @KodeArtss
    @KodeArtss Před rokem +4

    Bro teached us in 5 minutes better than teachers that take 3 weeks to explain this

  • @patricioargote4813
    @patricioargote4813 Před 4 lety +13

    This was 7 years ago, I wonder were the kids in that classroom are now.

    • @l0gik321
      @l0gik321 Před 3 lety +1

      probably done with school by now

  • @rue1162
    @rue1162 Před 4 lety +3

    The 1st minute of this made me understand everything 😶. Thank you so much

  • @MsHortel
    @MsHortel Před 5 měsíci

    Professor McLogan is wonderful. He makes algebra simple for simple minds like myself. Thank you Professor McLogan.

  • @loriglynn3154
    @loriglynn3154 Před 4 měsíci

    He explains everything so much better than my son’s teacher!!! Love his style of teaching!!!!

  • @Raddy8811
    @Raddy8811 Před 2 lety +2

    Best math teacher. I have an exam tmrw and I didn’t understand. Thank you for helping.

  • @kevinceniceros1690
    @kevinceniceros1690 Před 4 lety +4

    So, in other words, you don't need the 1, 2, 3, and 4 gibberish. You just flip the problem, times it, and divide and subtract the exponents.

  • @keshaunastewart2271
    @keshaunastewart2271 Před rokem +1

    Thank you so much. You teach me better than my actual prof! You are the one helping me pass my math class!! Math has always been so hard for me and this topic as well. So thank you ❤️😌 every time I don’t understand something I literally come to your page and search for it !!

  • @moojza
    @moojza Před 5 lety +7

    Well just learned more here than the last 3 months of school.

  • @informativecontent4778

    for this specific problem this is 1 of the best explanations i could fine online

  • @stunningcactus978
    @stunningcactus978 Před 3 lety +1

    Very succinctly communicated. Great teaching!

  • @colourlessfool5107
    @colourlessfool5107 Před 3 lety +1

    This is so useful, Now I know hot to apply the exponent rules

  • @mahiralalani9818
    @mahiralalani9818 Před 4 lety +3

    This guy just thought me some things the day before my mid term 😮

  • @bananapudding4854
    @bananapudding4854 Před 4 lety +2

    Your videos are good. Also...I love how you call out the kids in every video.

  • @poere1234
    @poere1234 Před 2 lety

    you make things 10x easier to understand I am not joking you have helped me so much, thank you, and i hope god blesses you so much that you become an millionaire lol idk what to say but im just filled with gratitude so thank you so much

  • @benfarmer5256
    @benfarmer5256 Před 4 lety +1

    My teacher is now using your videos in my class after I mention you.

  • @pgpc6448
    @pgpc6448 Před 2 lety

    Love your step by step!! My 5th grade enrichment group will love this!!!

  • @brandonwill3666
    @brandonwill3666 Před 3 lety +1

    Thank you so much

  • @kevinceniceros1690
    @kevinceniceros1690 Před 4 lety +1

    I'm glad I'm watching this. I've been out of college for two months. Just recently got my two associate degrees and my certificate of completion. I remember learning about this kind of problem when I was taking a math course (which I passed with a B) and that I always fucked up on this kind of problem.

  • @writingforfun7783
    @writingforfun7783 Před rokem +1

    This guy taught me my entire lesson in five minutes than my algebra teacher in seven hours

  • @akenn23
    @akenn23 Před rokem

    As a bloke named Alex, that intro certainly got my attention.

  • @raqad4642
    @raqad4642 Před 4 lety +1

    How I can solve like this one without the parentheses? For example, 👉🏻x^3y_2/x_5y8 this means X powered 3 y_2/ X_5y8 ?You’re awesome instructor and your videos is very helpful thanks. I am stuck with this

  • @Lilliaan.
    @Lilliaan. Před rokem

    Thank you so much! I've been struggling with this for a while, now it finally makes sense!

  • @josiek1849
    @josiek1849 Před 3 lety

    i so wish you were my teacher in highschool, more than half the time I go directly to your videos after class so i can acually understand. You have helped me raise my geades sooo muchhh!!! thank you!

  • @avertoe8317
    @avertoe8317 Před 5 měsíci

    Thank you so much! 9th grade math is killing me, and I‘m not good at focusing face to face lol. This helped a ton!

  • @bruh.2526
    @bruh.2526 Před 3 lety +1

    Netflix: Are you still watching?
    Someone's daughter: 5:35

  • @SamuelIpero
    @SamuelIpero Před 4 lety +1

    This was helpful. Thanks

  • @brightsky3958
    @brightsky3958 Před 2 lety

    Thank you so much for this. This has been a great help in finishing my homework. God bless.

  • @loribroussard3172
    @loribroussard3172 Před 5 lety +3

    Question??? is the first problem simplified to final form? Why is y^4 in denominator not subtracted to y^10 in numerator? I'm missing something here.

  • @trevorlei4096
    @trevorlei4096 Před 5 lety +4

    omg im in ur class, best teacher ever

  • @user-lb4rp8df7x
    @user-lb4rp8df7x Před 6 měsíci

    thank you !

  • @raepuppy3444
    @raepuppy3444 Před 4 lety

    I love your videos, they are my go to. My teacher does not explain math in a way that I understand, and you do.

  • @edwinperez3148
    @edwinperez3148 Před 3 lety

    Great job teaching the procedure for simplifying the expression. At the end of your tutorial your video is blocked by other video previews. Sometimes your work on your board is blocked. I don't know if this is something you have control over. This occurs on all youtube videos, the idea is that your should be done before they obscure your boar

    • @brianmclogan
      @brianmclogan  Před 3 lety

      Happy to look into fixing this, thank you for the heads up

  • @simonealston-freeman3432

    How do I turn this into positive exponents: 3u8v4/7u5v2

  • @KRISytc
    @KRISytc Před 6 lety +1

    Great Video!👏😇thank you

  • @pillowyflunky9931
    @pillowyflunky9931 Před rokem

    thank you

  • @lukedaduke9368
    @lukedaduke9368 Před 2 lety

    This is freaking awesome, I wish all math teachers where like you

  • @kureakuma443
    @kureakuma443 Před 4 lety

    This helps a ton! Thank you.

  • @iamaqween5156
    @iamaqween5156 Před 2 lety

    THANK YOU SO MUCH MR!

  • @gilnahnu
    @gilnahnu Před rokem

    you're a legend!!

  • @ahmedalmedel4106
    @ahmedalmedel4106 Před rokem

    Very good 😊😊

  • @dreyvangogh6570
    @dreyvangogh6570 Před 2 lety

    Our teacher would teach us math in more than a month but here, I learned a lot in 5 minutes

  • @bagellover4102
    @bagellover4102 Před 4 lety

    Omg THANK YOU SO MUCH!!! You saved my life!!!

  • @fileminokilicho1855
    @fileminokilicho1855 Před rokem

    Are you going to simplify the variables so that it becomes y raised to the sixth power over 4 x squared?

  • @amabellelanas8728
    @amabellelanas8728 Před 3 lety

    Thanks for teachinggg!

  • @anthonymorris6801
    @anthonymorris6801 Před 2 lety

    Excellent!!!

  • @jenedmonds3047
    @jenedmonds3047 Před 2 lety

    Amazing thank you

  • @TheKrazyLobster
    @TheKrazyLobster Před 3 lety

    YES! I GOT IT RIGHT EVEN WITH THE SIMPLIFICATION! HELL YEAH!

  • @devz3143
    @devz3143 Před 6 lety +5

    4:56 How did you get that 1/4?

    • @brianmclogan
      @brianmclogan  Před 6 lety +4

      there is a coefficient of 1 in front of the x^4 in the numerator

    • @infinitesimotel
      @infinitesimotel Před 5 lety

      same principle as 1/2 * x is also x/2. Dividing by 2 is the same as multiplying by 1/2.

    • @heapt1
      @heapt1 Před 5 lety

      Brian McLogan why isn’t the exponent for the denominator in the final answer not negative

    • @gangstafreinds9824
      @gangstafreinds9824 Před 4 lety

      @@heapt1 because you can't have a negative so he flipped it to the bottom to turn it to a positive

  • @ebronmfunka6714
    @ebronmfunka6714 Před 3 lety

    I love this what a good explanation thumbs up sir

  • @realjxke
    @realjxke Před 2 lety

    bro thank you i have a huge test on this today and this is a great video to study with :D

  • @jacoblara1654
    @jacoblara1654 Před 4 lety

    When you reciprocate the fraction from negative squared to positive squared. How exactly do I know that I don’t have to multiply the fraction to itself?

  • @reinadecastro3856
    @reinadecastro3856 Před 5 lety

    Im watching to learn. Thank you

  • @JonGuttenburg
    @JonGuttenburg Před 4 lety

    This was a great explanation 👍

  • @winstondennis5301
    @winstondennis5301 Před rokem

    Great explanation ❤❤❤

  • @sukhmanisingh1903
    @sukhmanisingh1903 Před 2 lety

    Man this guy is way better than my teacher,
    In the explanation parts

  • @jasminec9131
    @jasminec9131 Před 2 lety

    thankyou

  • @enievesayala
    @enievesayala Před 2 lety

    Can you explain why the x became positve, please?

    • @brianmclogan
      @brianmclogan  Před 2 lety

      The negative is to the expression not only x

  • @Nickspraguefla
    @Nickspraguefla Před rokem

    I’m still confused at the end where 1/4X^-2Y^6=
    Y^6/4X^2….wouldn’t the 1/4X^-2 flip to 4/1X^2?

  • @soapmac3734
    @soapmac3734 Před 4 lety

    Thanks for making this vid it helps me a lot😊

  • @hadasah6309
    @hadasah6309 Před 2 lety

    I'm saved! 😁

  • @ybgrev4632
    @ybgrev4632 Před 6 lety +2

    Congrats on 100k subs. (Almost)

  • @michellecarroll6543
    @michellecarroll6543 Před 2 lety

    You’re the reason I’m passing college algebra

  • @emilycoel6276
    @emilycoel6276 Před 4 lety

    Thank u so much

  • @michaelbuscano5520
    @michaelbuscano5520 Před 2 lety

    Good afternoon sir. May I ask what if the exponent is in fraction? For example
    [(4a2b3c-17)2(b3c-4)(2a-2)-2/4a2bc2] 1/2

  • @mahdijaghori6886
    @mahdijaghori6886 Před 5 lety

    I just want say thank u s much to be successful man :)

  • @boitumeloromeo3488
    @boitumeloromeo3488 Před 6 lety +1

    So far you there best,more simplified

  • @hpoh4851
    @hpoh4851 Před 5 lety +1

    I wish this was my teacher

  • @david._.6816
    @david._.6816 Před 4 lety +1

    How come the x^-2 goes on the bottom? since it has a negative power, shouldn't it go on the top instead of the bottom? Confusing.but nice work though.

    • @Cruz8R
      @Cruz8R Před 4 lety

      It is already at the top with the minus sign so it went at the bottom. Had it been at the bottom than it would have gone to the top.

    • @Cruz8R
      @Cruz8R Před 4 lety

      1 xˉ² y⁶ 1 1 y⁶ y⁶
      ─ · ── · ── = ─ · ── · ─ = ──
      4 1 1 4 x² 1 4x²

  • @Lizzglizz
    @Lizzglizz Před 5 lety +16

    I have a final Thur and I’m doing this last min 😂cramming

  • @MarlieRietschel
    @MarlieRietschel Před 2 lety +1

    Just wondering, what grade do you teach? I’m only in 8th and I’m learning this, very helpful by the way! Hoping to do good on my test tommorow

    • @ryyyyy69
      @ryyyyy69 Před rokem

      did you do good on your test bro

    • @MarlieRietschel
      @MarlieRietschel Před rokem

      @@ryyyyy69 I don’t remember lol. I’m in 9th grade now

    • @ryyyyy69
      @ryyyyy69 Před rokem

      @@MarlieRietschel damn im in 9th too doing this

    • @gilnahnu
      @gilnahnu Před rokem

      @@ryyyyy69 bruv im in 10th doing this

    • @ryyyyy69
      @ryyyyy69 Před rokem

      @@gilnahnu holy FUCK

  • @greenanime8359
    @greenanime8359 Před 2 lety

    this was 9 years ago and the camera quality is better than pewdiepie's

  • @Dottywalkers9
    @Dottywalkers9 Před 3 lety

    Teacher: Does anyone have any questions. Me:Yeah uh...Can you teach me math all the time??

  • @chiba5340
    @chiba5340 Před rokem

    Hey guys I have a question ,where did the negative there go to after he used the power of power rule???

    • @brianmclogan
      @brianmclogan  Před rokem +1

      When you flip the numerator and denominator you can change the sign (a/b)^-1= (b/a)^1

    • @gilnahnu
      @gilnahnu Před rokem

      two negetives make a positive

  • @get_right1373
    @get_right1373 Před 3 lety

    So much for reading the modules without proper explanation. I mean the modules are somewhat ok but they go to the direct point of the answer but thank you

  • @michaelasuorsa
    @michaelasuorsa Před 6 lety

    This video helped thank you

  • @DevoWTS
    @DevoWTS Před 6 lety +2

    The ending simplification of the problem confuses me so much and I keep making errors due to it. Why does the y6 become the numerator of the fraction and how does the 1/4 x become a whole number 4x to the second and become the dinominator?

    • @brianmclogan
      @brianmclogan  Před 6 lety

      you agree that 1/4 is fraction with 1 in the numerator and 4 in the denominator. So since the terms are being multiplied I just wrote the 4 in the denominator. any exponent to the negative power can be rewritten as the reciprocal so 1/x^2 notice the x^2 is in the denominator again and the 1 in the numerator. that leaves us with y^6 which is also y^6/1 so you can see y^6 is in the numerator multiplied by 1 and 1 which just leaves us y^6 hope that helps

  • @bhaskardeshmukh4730
    @bhaskardeshmukh4730 Před 3 lety

    This is great

  • @maryam4587
    @maryam4587 Před 6 lety

    Thank you

  • @nirmalschannel
    @nirmalschannel Před 4 lety

    You'd think I should remember this out of high school but I'm literally watching your videos as a Sophomore in college taking Calc I because I know how to do multiple regression analysis but somehow don't remember basic algebra lol

  • @Shortsfilm1123
    @Shortsfilm1123 Před 5 lety

    Great!