Evaluate: (-2p^7q^5)^8

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Expression: ${\left( -2{p}^{7}{q}^{5} \right)}^{8}$

To raise a product to a power, raise each factor to that power

${\left( -2 \right)}^{8} \times {\left( {p}^{7} \right)}^{8} \times {\left( {q}^{5} \right)}^{8}$

Evaluate the power

$256 \times {\left( {p}^{7} \right)}^{8} \times {\left( {q}^{5} \right)}^{8}$

Simplify the expression by multiplying exponents

$256{p}^{56} \times {\left( {q}^{5} \right)}^{8}$

Simplify the expression by multiplying exponents

$256{p}^{56}{q}^{40}$

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