Convert to Radical Form (64/125)^(-2/3)

${(\frac{64}{125})}^{- \frac{2}{3}}$

Step 1

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

${(\frac{125}{64})}^{\frac{2}{3}}$

Step 2

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

$\sqrt[3]{{(\frac{125}{64})}^{2}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{{(\frac{125}{64})}^{2}}$

Decimal Form:

$1.5625$