1.(y^-5)^-10y^10

A) y^-60
B) y^60
C) y^-150
D) y^150

Can anyone help please? I have tried solving it, but it's mind boggling.

when raising powers to powers, just multiply the exponents. That is because

(3^4)^3 = (3^4)(3^4)(3^4) = 3^(4*3)

So, you have

(y^-5)^-10 = y^50
now multiply that by y^10