Question

Find the product. (y^3)^2 y^7

Answer 1

Power rule

y^3(2)
y^6y^7

product rule, add them

y^13

Answer 2

$Use\ (a^n)^m=a^{n\cdot m}\ and\ a^n\cdot a^m=a^{n+m}\\\\(y^3)^2y^7=y^{3\cdot2}y^7=y^6y^7=y^{6+7}=y^{13}\\\\Answer:\boxed{y^{13}}$