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

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 s class=

Respuesta :

Answer:

[tex]x^6x^{-12}[/tex] and [tex](x^{-3})^2[/tex]

Explanation:

Given

[tex](x^3x^{-6})^2[/tex]

Required

Possible Next Step

Open Bracket;

From law of indices; [tex](a^m)^n = a^{mn}[/tex]

This implies that

[tex](x^3x^{-6})^2 = (x^{3*2}x^{-6*2})[/tex]

[tex](x^3x^{-6})^2 = x^{6}x^{-12}[/tex]

Hence, a possible next step is [tex]x^6x^{-12}[/tex]

Another possible step is as follows

[tex](x^3x^{-6})^2[/tex]

From law of indices; [tex]a^m*a^n = a^{m+n}[/tex]

This implies that

[tex](x^3x^{-6})^2 = (x^{3+(-6)})^2[/tex]

[tex](x^3x^{-6})^2 = (x^{3-6})^2[/tex]

[tex](x^3x^{-6})^2 = (x^{-3})^2[/tex]

Hence, a possible next step is [tex](x^{-3})^2[/tex]

Answer:

A.C.E  

Explanation:

ACCESS MORE
EDU ACCESS