Algebra Examples

$a b^{\frac{2}{5}} c^{- \frac{2}{5}}$

Step 1

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

$a \sqrt[5]{b^{2}} c^{- \frac{2}{5}}$

Step 2

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

$a \sqrt[5]{b^{2}} \frac{1}{c^{\frac{2}{5}}}$

Step 3

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

$a \sqrt[5]{b^{2}} \frac{1}{\sqrt[5]{c^{2}}}$