Algebra Examples

$\frac{{(- 8)}^{- 2}}{3^{- 4}}$

Step 1

Move ${(- 8)}^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3^{- 4} {(- 8)}^{2}}$

Step 2

Move $3^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{3^{4}}{{(- 8)}^{2}}$

Step 3

Raise $3$ to the power of $4$ .

$\frac{81}{{(- 8)}^{2}}$

Step 4

Raise $- 8$ to the power of $2$ .

$\frac{81}{64}$