Square root of x to 6 divided by square root of x squared =? Learn Algebra!

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How to divided powers and exponents - square roots and radicals. Learn more math at TCMathAcademy.com/.
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Опубликовано:

21 июл 2024

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Комментарии : 34

@tomtke7351 19 дней назад

Rewritten (X^(6/2))/(X^(2/2)) =(X^3)/(X) =X^(3-1) =X^2

@Kualinar 19 дней назад

x^2, two ways in my head. 1) Perform the square roots then the division : ✓(x^6)÷✓(x^2) = (x^3) ÷ x = x^2 2) The division of squares roots is the same as the the square root of the division : ✓(x^6)÷✓(x^2) = ✓(x^6 ÷ x^2) = ✓(x^4) = x^2

@coolkitty2075 19 дней назад

I m getting more of these right. Thank you ❤

@chrisdissanayake6979 19 дней назад

X^2

@bigdog3628 4 дня назад

Simple problem with fraction exponents let a equal 6/2 and b equal 2/2 Since the base numerator and base denominator are both x we can use the formula (x ^ a) / (x ^ b) = x ^ ( a - b ) a - b = 4/2 or 2 There fore the answer is x² If you don't understand what fractional exponents are, the numerator is the power and the denominator is the root. (I don't know why other schools don't teach this the very second you start learning about roots and powers, but when I was in school if you saw this problem on a test then you should at least understand what the numerator represents and what the denominator represents)

@nyneeveanya8861 18 дней назад

Again, I got the right answer but not this way. Square root of x^6 is x^3, square root of x^2 is x. So x^3/x=x^2. Is this an okay way to get the answer?

@stephensimpson7794 9 дней назад

it's ok if you ignore that sqrt(x^6) is |x^3| and sqrt(x^2) is |x| then yeah. you're ok since the next result of an even power will negate the need for the absolute values

@devonwilson5776 17 дней назад

Greetings. The answer is x^2, done mentally in seconds. (X^6)^1/2÷(X^2)^1/2=X^6×1/2 all divided by X^2×1/2=X^3÷X^1=X^3-1=X^2. X^3÷X^1=X×X×X/X=X^1×X^1=X^(1+1)=X^2.

@erniemorris9991 19 дней назад

The square root is 1/2 power place both terms under the radical in() and raise to 1/2 power multiply exponents you get X cubed divided by X subtract exponents numerator minus denominator get X squared

@DominicMazoch 16 дней назад

√4=2,-2. I was taught all roots are in play unless the question, test, or course stated positive roots only.

@nicholasb8900 17 дней назад

I took x^6 and broke it down to (x^3)^2 = (x^3) (x^3) So the square root is simply x^3 which you divide by square root of x^2 which equals x. That leaves you with (x^3) \ x = x^2.

@stephensimpson7794 9 дней назад

pretty decent overall. if you plug in -1 for x, then square root of x^6 isn't x^3 as sqrt(x^6) is sqrt(1) which is 1 and not -1. after the simplification though when we wind up with x^2 we can ignore the absolute values so it didn't cost you

@raya.pawley3563 19 дней назад

Thank you

@russelllomando8460 19 дней назад

got it x^2 subtract and reduce thanks for the fun

@krunoslavregvar477 19 дней назад

(x^6/x^2)^1/2 x^1/2=√x - obvious (reason and) explanation x^(6-2🎉)=x^4\\√ Result: x^2

@craigsaunders7037 19 дней назад

X^6=x^3 x x^3.sqr root= x^3. Sorry root of x2=×. X^3 / x= x^2.

@fredsalter1915 19 дней назад

I got ±(x^2) ;-(

@sekharb6651 19 дней назад

Xto the power2.

@Ayelmar 19 дней назад

I think I have this solved in my head at the thumbnail, but I'm not 100% sure. I'm getting x^2 as the result. First sqrt(x^2) = x. Next, sqrt(x^6) = x^3. (????) Finally, x^3 / x = x^2..

@Ayelmar 19 дней назад

Yay! I DID remember this stuff!

@mahamunibalakrishnan8263 17 дней назад

x^2

@donfacundo2118 18 дней назад

Applying the rules. You can get the answer in 5 seconds or less

@Surreal_Wizard 19 дней назад

I come up with Ecks Littletwo.

@davevanfunk8917 19 дней назад

X to the 4th power? Oops, Xsquared - forgot about the radical

@ajabkhan9320 19 дней назад

Ajab Khan khattak.Your statement mismatches with the question.

@chucksmoko5348 18 дней назад

X squared.

@craigsaunders7037 19 дней назад

X x X

@ajsaus4825 18 дней назад

@erembald2927 19 дней назад

=(x^6)^0.5/x = X^3/x = x

@tomtke7351 19 дней назад

@@erembald2927 partial credit... X^3÷X = X^(3-1) = X^2

@brucea9871 17 дней назад

When I saw the thumbnail I played this video just long enough to leave a comment. A video over 9 minutes long for such a trivial problem? Who is this video meant for, 6 year olds?