Question

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.

A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power

Answer 1

g3h

Explanation:

I got it right

Answer 2

Your problem looks like this:

`\frac{ {g}^(5) * {h}^(4) }{ {g}^(2) * {h}^(3) }`
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do

`{g}^(5) / {g}^(2) = {g}^(3)`
and

`{h}^(4) / {h}^(3) = {h}^(1) = h`
Therefore, your answer is

`{g}^(3) h`