Algebra Examples

${(3 x^{2} + 5)}^{- \frac{2}{5}}$

Step 1

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

$\frac{1}{{(3 x^{2} + 5)}^{\frac{2}{5}}}$

Step 2

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

$\frac{1}{\sqrt[5]{{(3 x^{2} + 5)}^{2}}}$