Question

Selena is simplifying the expression (6h^5)^2. She wrote (6h^5)^2=|_| h^10.

What number should Selena put in the box? This is a self answer there are no answer choices

Answer 1

We need to use following properties of exponents

`(xy)^(n) =x^(n)y^(n) \\ \\(x^(n))^(m)=x^(n*m)`

(6h⁵)² =6²h⁵*² = 36h¹⁰

Selena should put 36 in the box.

Answer 2

36

Explanation:

Here our original expression is
`(6h^(5))^(2)`

Here we are going to apply to the rule of exponents.

`(xy)^(m)=x^(m)y^(n)`

Hence

`(6h^(5))^(2)=6^(2)*(h^(5))^(2)`

`=36*(h^(5))^(2)`

Now we are going to apply the rule of the exponent as given under

`(a^(m))^(n)=a^(mn)`

`36(h^(5))^(2) =36h^(10)`

Hence we will place 36 in the box with
`h^(10)`