Question

Which expression is equivalent to (6x^5z/4x^4z^2)^3?

Answer 1

$\text{Use:}\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(a\cdot b)^n=a^nb^n$

$\left(\dfrac{6x^5z}{4x^4z^2}\right)^2=\left(1.5x^{5-4}z^{1-2}\right)^3=\left(1.5x^1z^{-1}\right)^3\\\\=1.5^3(x^1)^3(z^{-1})^3=3.375x^{1\cdot3}z^{-1\cdot3}\\\\=\boxed{3.375x^3z^{-3}=3\dfrac{3}{8}x^3z^{-3}=\dfrac{27x^3}{z^3}}$

Answer 2

Answer:

D. 54x^19z^5

Step-by-step explanation:

the answer above me is wrong, and you entered the equation incorrectly, if this question is from edge.

edges equation is:  (6x^5z)^3/4x^4z^2?