Simplify (2 square root of 2a)^2

Math
(22a)2
Simplify the expression.
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Apply the product rule to 22a.
222a2
Raise 2 to the power of 2.
42a2
42a2
Rewrite 2a2 as 2a.
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Use axn=axn to rewrite 2a as (2a)12.
4((2a)12)2
Apply the power rule and multiply exponents, (am)n=amn.
4(2a)12⋅2
Combine 12 and 2.
4(2a)22
Cancel the common factor of 2.
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Cancel the common factor.
4(2a)22
Divide 1 by 1.
4(2a)1
4(2a)1
Simplify.
4(2a)
4(2a)
Multiply 2 by 4.
8a
Simplify (2 square root of 2a)^2

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