# How do you simplify (x^2 * y^3) ^5?

${x}^{10} {y}^{15}$
Know that: ${\left({x}^{a} {y}^{b}\right)}^{c} \to \left({x}^{a \cdot c} {y}^{b \cdot c}\right)$
So in this example, all we have to do is distribute the $5$ to each of the exponents such as,
${\left({x}^{2} {y}^{3}\right)}^{5} \to \left({x}^{2 \cdot 5} {y}^{3 \cdot 5}\right) = \left({x}^{10} {y}^{15}\right)$