Algebra Examples

${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$

Step 1

Move the negative in front of the fraction.

${(\frac{1}{\sqrt{y}})}^{- \frac{1}{5}}$

Step 2

Change the sign of the exponent by rewriting the base as its reciprocal.

${\sqrt{y}}^{\frac{1}{5}}$

Step 3

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

$\sqrt[5]{{\sqrt{y}}^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt[5]{\sqrt{y}}$