Solve for: (4x^3y^5)^3

Expression: ${\left( 4{x}^{3}{y}^{5} \right)}^{3}$

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

${4}^{3} \times {\left( {x}^{3} \right)}^{3} \times {\left( {y}^{5} \right)}^{3}$

Evaluate the power

$64 \times {\left( {x}^{3} \right)}^{3} \times {\left( {y}^{5} \right)}^{3}$

Simplify the expression by multiplying exponents

$64{x}^{9} \times {\left( {y}^{5} \right)}^{3}$

Simplify the expression by multiplying exponents

$64{x}^{9}{y}^{15}$