Simplify (-c^5h^6)^4

${(- c^{5} h^{6})}^{4}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- c^{5} h^{6}$ .

${(- c^{5})}^{4} {(h^{6})}^{4}$

Apply the product rule to $- c^{5}$ .

${(- 1)}^{4} {(c^{5})}^{4} {(h^{6})}^{4}$

Raise $- 1$ to the power of $4$ .

$1 {(c^{5})}^{4} {(h^{6})}^{4}$

Multiply ${(c^{5})}^{4}$ by $1$ .

${(c^{5})}^{4} {(h^{6})}^{4}$

Multiply the exponents in ${(c^{5})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$c^{5 \cdot 4} {(h^{6})}^{4}$

Multiply $5$ by $4$ .

$c^{20} {(h^{6})}^{4}$

Multiply the exponents in ${(h^{6})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$c^{20} h^{6 \cdot 4}$

Multiply $6$ by $4$ .

$c^{20} h^{24}$