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#