Question

Choose the correct simplification of the expression the quantity a to the 2nd power over b to the 3rd power all raised to the 4th power.

a to the 6th power over b to the 7th power
b12
a8b15
the quantity a to the 8th power over b to the 12th power

Answer 1

the answer to this problem is the last one (D)

Answer 2

(a²/b³)^4

(a²)^4 ⇒ 2 x 4 = 8 = a^8
(b³)^4 ⇒ 3 x 4 = 12 = b^12

(a²/b³)^4 = a^8 / b^12

the quantity a to the 8th power over b to the 12th power