Question

Simplify the given expression.

Answer 1

C.
`(32g^2)/(3h^4)`

Explanation:

Answer 2

Option C is correct

Explanation:

`((h)/(3g^2))/((h^5)/(32g^7))`

We need to simplify the above expression.

We can write the above expression as:

`(h)/(3g^2)/(h^5)/(32g^7)`

Changing division sign into multiplication and reciprocating the second term we get,

`(h)/(3g^2)*(32g^7)/(h^5)`

Applying the power rule: a^m/a^n = a^{m-n}

Solving:

`(h*32g^7)/(3g^2*h^5)\\\\(32g^(7-2))/(3h^(5-1))\\(32g^5)/(3h^4)`

So, Option C is correct.