Evaluate 8^-2*a^7

$8^{- 2} \cdot a^{7}$

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

$\frac{1}{8^{2}} \cdot a^{7}$

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

$\frac{1}{64} \cdot a^{7}$

Combine $\frac{1}{64}$ and $a^{7}$ .

$\frac{a^{7}}{64}$