Evaluate ((9)^-4)/((-3)^-8)

$\frac{{(9)}^{- 4}}{{(- 3)}^{- 8}}$

Step 1

Move ${(9)}^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- 3)}^{- 8} \cdot 9^{4}}$

Step 2

Move ${(- 3)}^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{{(- 3)}^{8}}{9^{4}}$

Step 3

Raise $- 3$ to the power of $8$ .

$\frac{6561}{9^{4}}$

Step 4

Raise $9$ to the power of $4$ .

$\frac{6561}{6561}$

Step 5

Divide $6561$ by $6561$ .

$1$