Algebra Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

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

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

Step 3

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.125$