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

Answer 1

G^5 x h^4 / g^2 x h^3

Answer 2

`g^(3)h` is the correct simplified expression.

Explanation:

The given expression is
`(g^(5)h^(4))/(g^(2)h^(3))`

We have to simplify this expression further

=
`g^(5) h^(4) g^(-2) h^(-3)` [ since
`(1)/(x)=x^(-1)` ]

=
`g^((5-2)) h^((4-3))` [
`x^(a)x^(b)=x^((a+b))` ]

=
`g^(3)h`

Therefore,
`g^(3)h` is the correct simplified form of the given expression.