Algebra Examples

${(\frac{81}{16})}^{- \frac{1}{4}}$

Step 1

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

${(\frac{16}{81})}^{\frac{1}{4}}$

Step 2

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

$\sqrt[4]{{(\frac{16}{81})}^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt[4]{\frac{16}{81}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt[4]{\frac{16}{81}}$

Decimal Form:

$0.\overline{6}$