Question

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

Answer 1

D. 54x^19z^5

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?

Answer 2

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


`\left((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(3)/(8)x^3z^(-3)=(27x^3)/(z^3)}`