Convert to Radical Form (-5x)^(-1/3)

${(- 5 x)}^{- \frac{1}{3}}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- 5 x)}^{\frac{1}{3}}}$

Step 2

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

$\frac{1}{\sqrt[3]{{(- 5 x)}^{1}}}$

Step 3

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt[3]{- 5 x}}$