Convert to Radical Form 25^(-3/2)

$25^{- \frac{3}{2}}$

Step 1

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

$\frac{1}{25^{\frac{3}{2}}}$

Step 2

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

$\frac{1}{\sqrt{25^{3}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt{25^{3}}}$

Decimal Form:

$0.008$