SOLUTION: Simplify (4x)^2

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Question 85047: Simplify
(4x)^2

Found 2 solutions by bucky, jd79prelude:
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
%284x%29%5E2
.
Since the term inside the parentheses is a product, the power rule of exponents says that
the exponent applies to each of the factors inside the parentheses. This means the term can
be expanded to:
.
%284%5E2%2Ax%5E2%29
.
and 4%5E2+=+16. This makes the answer 16x%5E2.
.
Or you could look and it another way. You are being asked to square the term 4x.
To square something means to multiply it by itself. Therefore the problem can be re-written
as in the following:
.
%284x%29%5E2=4x%2A4x=16%2Ax%5E2
.
Hope this helps you to understand the problem and how to get the answer.

Answer by jd79prelude(1) About Me  (Show Source):