Question

Simplify the expression.

(−2g5h2)5

Answer 1

I am sure you are trying to type


`( - 2 {g}^(5) {h}^(2) {)}^(5)`
If that is it, then you should recall the law of exponents which says,


`({a}^(m) {)}^(n) = {a}^(mn)`
Let us share the exponent for each of them.


`( - 2 {g}^(5) {h}^(2) {)}^(5) = ( { - 2)}^(5) ( { {g}^(5)) }^(5) ( { {h}^(2)) }^(5)`
We now apply the law,


`( - 2 {g}^(5) {h}^(2) {)}^(5) = ( { - 2)}^(5) ( { {g}^(5 \: * 5)) }^{} ( { {h}^(2 * 5)) }^{}`
We now simplify to obtain,


`( - 2 {g}^(5) {h}^(2) {)}^(5) = -32 {g}^(25) {h}^(10)`

If that is not the expression let me know so I will know how to help you