Calculate: (-2x^4y^6)^3

Expression: ${\left( -2{x}^{4}{y}^{6} \right)}^{3}$

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

${\left( -2 \right)}^{3} \times {\left( {x}^{4} \right)}^{3} \times {\left( {y}^{6} \right)}^{3}$

Evaluate the power

$-8 \times {\left( {x}^{4} \right)}^{3} \times {\left( {y}^{6} \right)}^{3}$

Simplify the expression by multiplying exponents

$-8{x}^{12} \times {\left( {y}^{6} \right)}^{3}$

Simplify the expression by multiplying exponents

$-8{x}^{12}{y}^{18}$