Question

Choose the correct simplification of the expression (a^2/ b^3)^4.

a)a^6/b^7
b)b^12
c)a^8b^15
d)a^8/b^12

Answer 1

(a^2)^4 = a^8, and (b^3)^4 = b^12. Thus, the quotient is

a^8
--------
b^12