Algebra Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

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

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

Step 3

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

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