Question

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

Answer 1

`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)}`

Answer 2

Power rule

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

product rule, add them

y^13