07 - Radicals can be Written as Fractional Exponents

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In this lesson, you will learn that radical expressions can always be written as a fractional exponent. The exponent 1/2 corresponds to square roots, 1/3 corresponds to cube roots, 1/4 corresponds to 4th roots, and so on.
We will discuss why this is the case so that we can use it later for the properties of multiplying and dividing radicals.

Пікірлер: 84

  • @vascobishop6834
    @vascobishop68343 жыл бұрын

    A true passionate teacher who cares and genuinely want to teach the world. 10/10 for his contribution to the masses.

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Wow thank you so much!

  • @ursulagwozdz1955

    @ursulagwozdz1955

    2 жыл бұрын

    So true.

  • @mjcard

    @mjcard

    2 жыл бұрын

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  • @houssinnores1998
    @houssinnores19983 жыл бұрын

    I was trying to solve a problem , I couldn't and the textbook gave an answer without explaining. Why is the phenomenon of not explaining things common among math textbooks and so many math teachers. they tell u it's just likee that thank u so much for this explanation

  • @surered4958
    @surered49584 жыл бұрын

    The a-ha moment for me was around 14:10 .. I felt some synapses working their magic in my brain and it started to click. Then it wasn't until I went back to my log equations with bases of radicals raised to more radicals upon radicals that this theory REALLY clicked and I was able to answer log questions with ease. What a great video. I never FULLY understood this concept until now. I definitely need to re-sub to the service for the log functions on my upcoming exams

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    Awesome!

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    @SiemaKri.23 күн бұрын

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  • @felixyongco4420
    @felixyongco4420 Жыл бұрын

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  • @pamelafrancis4476
    @pamelafrancis44763 жыл бұрын

    I really appreciate all the time and trouble you take so someone like me can understand the basics. Many thanks!

  • @DeathLetterBlues
    @DeathLetterBlues3 жыл бұрын

    Hands down THE BEST explanation of why radicals are just fractional exponents!! 🤯 I love your videos 😍🙌

  • @heist4420
    @heist44202 жыл бұрын

    as a person who struggles with ADHD, your excitement and passion is the reason why I'm able to grasp this lesson so easily! easily one of my favorite math youtubers.

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    @abx4t Жыл бұрын

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    @roslynjoseph81752 жыл бұрын

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    @ashleynoneya3891 Жыл бұрын

    So..been out of hs for 25 years, an RN on the daily…watching this to refresh and be able to help my son with his math. Wonderful, the explanations, I love how you break it down, showing why it works. Not just anyone can be a teacher/instructor, you sir..take the cake 🎂. Fantastic, Thank you, Thank you, Thank you.

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    @WarbandGamingOfficial2 жыл бұрын

    This man is genuinely my hero. What I would've given to have him as my math teacher back in high school. I would probably be in a much better positioned place in my life by now. Thank you Jason for these lessons.

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    @236ar4 жыл бұрын

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    @MrTorlon

    4 жыл бұрын

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    3 жыл бұрын

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    @seen-bc9eq

    3 жыл бұрын

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  • @zeddybear257
    @zeddybear2577 ай бұрын

    I love how clearly you explain math. I will certainly take detailed notes.

  • @void9938
    @void99382 жыл бұрын

    thank you for having a passionate explanation of this! so helpful to be this engaging!

  • @jmford610
    @jmford6102 жыл бұрын

    Dude, you really rock. Your teaching is as clear as crystal water. Thank you sincerely.

  • @thedoctordowho2022
    @thedoctordowho20224 жыл бұрын

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  • @santiagobarton2359
    @santiagobarton23592 жыл бұрын

    So easy to understand. Simply amazing!

  • @googleuser7945
    @googleuser7945 Жыл бұрын

    Not the easiest or the briefest, but an original, fascinating way to look at it. Thanks

  • @surajshukla5357
    @surajshukla53572 жыл бұрын

    Really appreciate the way he teaches us the topic. Thank you sir 🙏

  • @ismaaciiljabad5434
    @ismaaciiljabad54344 жыл бұрын

    i subscribed yesterday coz i love your explanation thanks....

  • @joeanderson2024
    @joeanderson20243 жыл бұрын

    What he’s saying at 11:15 is that you take the factor tree of the base (27j and group the number the denominator of the exponent amount of times (3) and count them the numerator of the exponent amount of times (1) to get 3. Another example is 27^(2/3) 27 /\ 9*3 /\ 9*3 So the factorization of 27=3*3*3. If I group them as triples then the 3s triple (denominator of exponent is 3) and count it twice (numerator of exponent is 2). 3*3=9. So 27^(2/3)=9

  • @pillaladr

    @pillaladr

    3 жыл бұрын

    Now I am more confused 😕

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    @nnajikelechi74822 жыл бұрын

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    @jorgeiglesias1719 Жыл бұрын

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  • @tashspond
    @tashspond2 жыл бұрын

    Thankyou I’ve been looking for this for days

  • @katexochwosoter8152
    @katexochwosoter8152 Жыл бұрын

    Excellent explanations on exponents .Thanks

  • @exoticphoenix7379
    @exoticphoenix73792 жыл бұрын

    This teacher is sooo descriptive & calm minded. The teachers I used to have are very tempered & wouldn't understand why I can't understand. Btw it could've been better if the volume of the video is bit higher

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thanks so much!

  • @TheByzmal
    @TheByzmal3 жыл бұрын

    Thanks. Got it. Separate from radicals & exponents. What other concepts in maths appear different but are the same thing?

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    @MathAndScience

    3 жыл бұрын

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  • @Hoekstes
    @Hoekstes2 жыл бұрын

    Wow that makes perfect sense, thanks!

  • @primeribb55
    @primeribb559 ай бұрын

    Great presentation and explanation! Probably the 35th video I watched for this one problem. Finally found an answer to having an index larger than the exponent of the number being rooted. My question: tenth root of 12 to the power of 5. Thanks!

  • @Gillycastaneda
    @Gillycastaneda4 жыл бұрын

    12:18 ...they only count one per every three ^1/3

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    @Galal34 Жыл бұрын

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    @richmilito54173 жыл бұрын

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    @unknownthisisatopsecret34984 жыл бұрын

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    @Electroprimestring125RR3 жыл бұрын

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    @granddad083 жыл бұрын

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    @tresajessygeorge210 Жыл бұрын

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    @user-hc3tg9js8v Жыл бұрын

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    @isabelduque68822 жыл бұрын

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    @dipschannel78675 ай бұрын

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    @mohalbeheiry92318 ай бұрын

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    @kristinaoxley62446 ай бұрын

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  • @Maria-lx6rb
    @Maria-lx6rb2 жыл бұрын

    thank u sir

  • @LTF39
    @LTF392 жыл бұрын

    Can I interpret this as a sum of fractions ? Like 27⅓ = 3/3 + 3/3 + 3/3 = 9/3 = 3

  • @dddaaa6965
    @dddaaa6965Күн бұрын

    wow that's incredible

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    @frankjones5188 Жыл бұрын

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    @chipia84513 жыл бұрын

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    @LOLpsyentist6 ай бұрын

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    @pankajkalaiya42403 жыл бұрын

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    @mailiw23202 жыл бұрын

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  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    I am! And thank you!

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    @user-hc3tg9js8v Жыл бұрын

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  • @tashspond
    @tashspond2 жыл бұрын

    Ok, and what if you have a radical with only variables raised to another fractional exponent? The double radical symbol

  • @jordyn244
    @jordyn244 Жыл бұрын

    I wish you were my teacher.

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    @seen-bc9eq3 жыл бұрын

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    @hollyfarwell5437 Жыл бұрын

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    @thegaz153 жыл бұрын

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  • @brightonchou1393
    @brightonchou13934 жыл бұрын

    really dont like u put a bracket in front of the answer.

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    @mjcard

    2 жыл бұрын

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    @martinkarius5519

    2 жыл бұрын

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  • @Andrewatnanz
    @Andrewatnanz4 жыл бұрын

    most books suck... thanks for making this video

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    You are very welcome!

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    @shiblymorshed51252 жыл бұрын

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    @nicolevirzi79194 жыл бұрын

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    @MathAndScience

    4 жыл бұрын

    Hi Nicole!

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  • @brightonchou1393
    @brightonchou13934 жыл бұрын

    really dont like the way u write radical sign.

  • @martinkarius5519

    @martinkarius5519

    2 жыл бұрын

    WTF!

  • @user-hc3tg9js8v
    @user-hc3tg9js8v Жыл бұрын

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