# What is the cube root of 1/125?

Mar 28, 2018

0.2, or 1/5

#### Explanation:

$\sqrt[3]{\frac{1}{125}}$

Can be rewritten as

$\frac{\sqrt[3]{1}}{\sqrt[3]{125}}$

Since $1 \cdot 1 \cdot 1 = 1$ and $5 \cdot 5 \cdot 5 = 125$, the fraction can be rewritten as:

$\frac{1}{5}$, which is equal to 0.2