Simplify (4p^2q^3)^3

${(4 p^{2} q^{3})}^{3}$

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

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Apply the product rule to $4 p^{2} q^{3}$ .

${(4 p^{2})}^{3} {(q^{3})}^{3}$

Apply the product rule to $4 p^{2}$ .

$4^{3} {(p^{2})}^{3} {(q^{3})}^{3}$

Raise $4$ to the power of $3$ .

$64 {(p^{2})}^{3} {(q^{3})}^{3}$

Multiply the exponents in ${(p^{2})}^{3}$ .

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

$64 p^{2 \cdot 3} {(q^{3})}^{3}$

Multiply $2$ by $3$ .

$64 p^{6} {(q^{3})}^{3}$

Multiply the exponents in ${(q^{3})}^{3}$ .

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

$64 p^{6} q^{3 \cdot 3}$

Multiply $3$ by $3$ .

$64 p^{6} q^{9}$

Simplify (4p^2q^3)^3

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