Algebra Examples

16^{- \frac{3}{4}}

$16^{- \frac{3}{4}}$

Step 1

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{16^{\frac{3}{4}}}

$\frac{1}{16^{\frac{3}{4}}}$

Step 2

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

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

\frac{1}{\sqrt[4]{16^{3}}}

$\frac{1}{\sqrt[4]{16^{3}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{1}{\sqrt[4]{16^{3}}}

$\frac{1}{\sqrt[4]{16^{3}}}$

Decimal Form:

0.125

$0.125$