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:

[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:

What primarily set off large-scale migration flows among European countries during the twentieth century?
A. the ability to establish distinctive political structures
B. the familiar cultural traditions of the host countries
C. the motivation to reach quotas set by individual countries
D. the desire to reunite with family members who migrated previously
E. the removal of migration restrictions