Algebra Examples

$\frac{1}{{(5 x)}^{- \frac{5}{2}}}$

Step 1

Move ${(5 x)}^{- \frac{5}{2}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(5 x)}^{\frac{5}{2}}$

Step 2

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

$\sqrt{{(5 x)}^{5}}$