Question

Which could be the first step in simplifying this expression? Check all that apply. (x Superscript negative 18 Baseline) squared (x Superscript negative 3 Baseline) squared (x Superscript negative 2 Baseline) squared x Superscript 6 Baseline x Superscript negative 12 Baseline x Superscript 5 Baseline x Superscript negative 4

Answer 1

A.C.E

Step-by-step explanation:

Answer 2

`x^6x^(-12)` and
`(x^(-3))^2`

Step-by-step explanation:

Given

`(x^3x^(-6))^2`

Required

Possible Next Step

Open Bracket;

From law of indices;
`(a^m)^n = a^(mn)`

This implies that

`(x^3x^(-6))^2 = (x^(3*2)x^(-6*2))`

`(x^3x^(-6))^2 = x^(6)x^(-12)`

Hence, a possible next step is
`x^6x^(-12)`

Another possible step is as follows

`(x^3x^(-6))^2`

From law of indices;
`a^m*a^n = a^(m+n)`

This implies that

`(x^3x^(-6))^2 = (x^(3+(-6)))^2`

`(x^3x^(-6))^2 = (x^(3-6))^2`

`(x^3x^(-6))^2 = (x^(-3))^2`

Hence, a possible next step is
`(x^(-3))^2`