Question

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

a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6

Answer 1

Your answer will be the second choice.

Answer 2

Lets get started :)


a to the 4th power = a⁴
over
b to the 2nd power = b²
(
`(a^4)/(b^2)` ) raised to 3rd power = (
`(a^4)/(b^2)` )³

The power of power properties apply here
(a) 4 x 3 = 12
(b) 2 x 3 = 6


`(a^1^2)/(b^6)`

Your answer will be the 2nd Option
a to the 12th power over b to the 6th power