How do you simplify ${(3 \times 2^{2})}^{2}$ $(3times2^2)^2$ ?

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Answer 1 · 2017-01-03T00:53:01

See full explanation below

First simplify the term $2^{2}$ $color(red)(2^2)$

${(3 \times 2^{2})}^{2} = {(3 \times 4)}^{2}$ $(3 xx color(red)(2^2))^2 = (3 xx 4)^2$

Next simplify the term within the parenthesis:

${(3 \times 4)}^{2} = 12^{2}$ $(color(blue)(3 xx 4))^2 = 12^2$

Finally simplify this square:

$12^{2} = 12 \times 12 = 144$ $12^2 = 12 xx 12 = 144$

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