Rewrite $\left(\frac{7}{8}\right)^{5}$ as $\frac{7}{8}\times \left(\frac{7}{8}\right)^{4}$. Cancel out $\left(\frac{7}{8}\right)^{4}$ in both numerator and denominator.
$$\frac{1}{\frac{7}{8}}$$
Divide $1$ by $\frac{7}{8}$ by multiplying $1$ by the reciprocal of $\frac{7}{8}$.
$$1\times \frac{8}{7}$$
Multiply $1$ and $\frac{8}{7}$ to get $\frac{8}{7}$.
