How do you simplify $(12b^2)^2$ ?

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Answer 1 · 2018-03-22T10:38:14

$color(blue)((12b^2)^2=144b^4$

Given:

We need to simplify $(12b^2)^2$ .

Formula used:

$color(blue)((a^m)^n = a^(mn)$

We will rewrite the given expression $color(red)((12b^2)^2=144b^4$ as

$color(blue)((12^2)*(b^2)^2)$

The first part $12^2$ can be simplified as follows:

$12^2 = 12*12=144 " "$ Intermediate Result 1

The second part $(b^2)^2$ can be simplified using the formula:

$color(blue)((a^m)^n = a^(mn)$

$(b^2)^2 = b^((2*2))=b^4" "$ Intermediate Result 2

We can now use both the Intermediate Result 1 and Intermediate Result 2 to write our final answer.

$color(blue)((12b^2)^2=144b^4$ .

Hope it helps.

Answer 2 · 2018-03-22T10:40:57

$:.=144b^4$

$(12b^2)^2$

$:.=(12b^2)(12b^2)$

$:.=144b^4$

How do you simplify (12b^2)^2(12b^2)^2?