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

Lets get started :)


a to the 4th power = a⁴
          over                              
b to the 2nd power = b²
( $\frac{a^4}{b^2}$ ) raised to 3rd power = ( $\frac{a^4}{b^2}$ )³

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

$\frac{a^1^2}{b^6}$

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

Answer 2

Your answer will be the second choice.