Can someone please help me. with 5 and 6?
(x^2)^5 x^10
_________ = _________ = 2^15 * x^10 = 32768x^10
(2^(-3))^5 2^(-15)
Note that in the second one the x^(-2) terms "cancel" so we are left with
y^5 / y^7 = y ^(5 - 7) = y^(-2) = 1 / y^2