Question

wrap-up:
use cube roots to solve equations
what is the value of x?
$x^3 = \frac{8}{125}$
$\bigcirc \\ \frac{8}{5}$
$\bigcirc \\ \frac{2}{5}$
$\bigcirc \\ \frac{2}{125}$
$\bigcirc \\ \frac{4}{25}$

Explanation:

Step1: Take cube root of both sides

$$x = \sqrt[3]{\frac{8}{125}}$$

Step2: Split root into numerator/denominator

$$x = \frac{\sqrt[3]{8}}{\sqrt[3]{125}}$$

Step3: Calculate cube roots

$$x = \frac{2}{5}$$

Answer:

$\boldsymbol{\frac{2}{5}}$ (corresponding to the second option: $\boldsymbol{\frac{2}{5}}$)