Simplify ((8^-7)/8)^-2

${(\frac{8^{- 7}}{8})}^{- 2}$

Move $8^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{1}{8 \cdot 8^{7}})}^{- 2}$

Multiply $8$ by $8^{7}$ by adding the exponents.

Multiply $8$ by $8^{7}$ .

Raise $8$ to the power of $1$ .

${(\frac{1}{8^{1} \cdot 8^{7}})}^{- 2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(\frac{1}{8^{1 + 7}})}^{- 2}$

Add $1$ and $7$ .

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

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

${(\frac{1}{16777216})}^{- 2}$

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

$16777216^{2}$

Raise $16777216$ to the power of $2$ .

$281474976710656$