Answer
$8x^3y^{6}$
Work Step by Step
RECALL:
(i) The products-to-powers rule states that: $(ab)^n=a^nb^n$
(ii) The power rule states that $(a^m)^n=a^{mn}$
Use the products-to-powers rule to find:
$=2^3x^3(y^2)^3
\\=8x^3(y^2)^3$
Use the power rule to find:
$=8x^3y^{2(3)}
\\=8x^3y^{6}$