Calculate: (-6xy^4)^2

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

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

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

Evaluate the power

$36{x}^{2} \times {\left( {y}^{4} \right)}^{2}$

Simplify the expression by multiplying exponents

$36{x}^{2}{y}^{8}$