Algebra Examples

$\frac{1}{{(5 x)}^{- \frac{1}{4}}}$

Step 1

Move ${(5 x)}^{- \frac{1}{4}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(5 x)}^{\frac{1}{4}}$

Step 2

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

$\sqrt[4]{{(5 x)}^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt[4]{5 x}$