# How do you simplify h^3 / h^-6?

The answer is ${h}^{9}$
$\frac{{h}^{3}}{{h}^{- 6}} = {h}^{3 - \left(- 6\right)} = {h}^{3 + 6} = {h}^{9}$.
When dividing variables with exponents on the same base, you subtract the exponent in the denominator from the exponent in the numerator. $\frac{{a}^{m}}{{a}^{n}} = {a}^{m - n}$