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

Respuesta :

Your problem looks like this:
[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
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
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]

Answer:

g3h

Step-by-step explanation:

I got it right