Simplify (10h^5k^3)/(24h^-2)

$\frac{10 h^{5} k^{3}}{24 h^{- 2}}$

Move $h^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{10 h^{5} k^{3} h^{2}}{24}$

Multiply $h^{5}$ by $h^{2}$ by adding the exponents.

Move $h^{2}$ .

$\frac{10 (h^{2} h^{5}) k^{3}}{24}$

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

$\frac{10 h^{2 + 5} k^{3}}{24}$

Add $2$ and $5$ .

$\frac{10 h^{7} k^{3}}{24}$

Cancel the common factor of $10$ and $24$ .

Factor $2$ out of $10 h^{7} k^{3}$ .

$\frac{2 (5 h^{7} k^{3})}{24}$

Cancel the common factors.

Factor $2$ out of $24$ .

$\frac{2 (5 h^{7} k^{3})}{2 (12)}$

Cancel the common factor.

$\frac{2 (5 h^{7} k^{3})}{2 \cdot 12}$

Rewrite the expression.

$\frac{5 h^{7} k^{3}}{12}$