Algebra Examples

${(\frac{1}{3})}^{- \frac{2}{5}} \cdot 96^{- \frac{2}{5}}$

Step 1

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

$3^{\frac{2}{5}} \cdot 96^{- \frac{2}{5}}$

Step 2

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

$3^{\frac{2}{5}} \cdot \frac{1}{96^{\frac{2}{5}}}$

Step 3

Combine $3^{\frac{2}{5}}$ and $\frac{1}{96^{\frac{2}{5}}}$ .

$\frac{3^{\frac{2}{5}}}{96^{\frac{2}{5}}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3^{\frac{2}{5}}}{96^{\frac{2}{5}}}$

Decimal Form:

$0.25$