Solve for: (-2x^3)^3

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

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

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

Evaluate the power

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

Simplify the expression by multiplying exponents

$-8{x}^{9}$