Answer:
-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
