Question

Medal!!:)
Choose the correct simplification of the expression f to the 6th power times h to the 9th power all over f to the 3rd power times h to the 7th power.

f12h6
1 over f to the 12th power times h to the 6th power
f3h2
1 over f to the 6th power times h to the 6th power
9. [7.04] Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2nd power.

a to the 5th power over b to the 9th power
a over b to the 14th power
a to the 6th power over b to the 14th power
a6b14

Answer 1

When dividing terms with exponents, the exponents are subtracted. So f^6 - f^3 = f^3 and h^9 - h^7 = h^2 So the answer to the first one is f^3 times h^2.

Answer 2

I think the second one is D because when you raise a power to a power, you multiply the values so 3*2 = 6 and 7*2=14.