Calculus Examples

${(8)}^{\frac{5}{2}}$

Step 1

Remove parentheses.

$8^{\frac{5}{2}}$

Step 2

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

$\sqrt{8^{5}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{8^{5}}$

Decimal Form:

$181.01933598 \dots$