Convert to Radical Form (1/625)^(1/4)

${(\frac{1}{625})}^{\frac{1}{4}}$

Step 1

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt[4]{{(\frac{1}{625})}^{1}}$

Step 2

Anything raised to $1$ is the base itself.

$\sqrt[4]{\frac{1}{625}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[4]{\frac{1}{625}}$

Decimal Form:

$0.2$