Explain how to simplify one of these operations with radicals? (45pt)

-36x z^2  ( 10 y^2 z^2) ^ 1/3

Step-by-step explanation:

16.  -9 ( 640 x^3 y^2 z^8) ^ 1/3

^1/3 is the cubed root

First I will separate

(ab)^y  = a^y * b^y

 -9 ( 640 ) ^ 1/3    x^3 ^ 1/3    y^2  ^ 1/3    z^8 ^ 1/3

Then we know a^b^c = a^(b*c)

 -9 (64) ^ 1/3  (10)^ 1/3     x^(3 * 1/3)    y^(2 *1/3)    z^(8* 1/3)

Simplify

-9  (64) ^ 1/3  (10)^ 1/3    x^(1)    y^(2 /3)    z^(8/3)

-9* 4  (10)^ 1/3     x   y^(2 /3)    z^(8/3)

When the exponent is greater than 1, we can take out the whole number

z^ 8/3 = x^2 * x^2/3  for example

-9 *4 (10)^ 1/3     x   y^(2 /3)   z^2 z^(2/3)

Move everything to the left without fractional exponents

-36x z^2  ( 10 y^2 z^2) ^ 1/3

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step-by-step explanation:

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