Question

What positive value of x that makes the equation true: x^3 =125^-1

Answer 1

x = 1/5

Explanation:

Take the cube root:

`x^3=125^(-1)\\\\x=\left((1)/(125)\right)^{(1)/(3)}=\frac{1}{\sqrt[3]{125}}\\\\\boxed{x=(1)/(5)}`