Evaluate: (-4x^2y^2)^3

Expression: ${\left( -4{x}^{2}{y}^{2} \right)}^{3}$

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

${\left( -4 \right)}^{3} \times {\left( {x}^{2} \right)}^{3} \times {\left( {y}^{2} \right)}^{3}$

Evaluate the power

$-64 \times {\left( {x}^{2} \right)}^{3} \times {\left( {y}^{2} \right)}^{3}$

Simplify the expression by multiplying exponents

$-64{x}^{6} \times {\left( {y}^{2} \right)}^{3}$

Simplify the expression by multiplying exponents

$-64{x}^{6}{y}^{6}$