Simplify (2R square root of 2)^2

Math
(2R2)2
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to 2R2.
(2R)222
Apply the product rule to 2R.
22R222
22R222
Raise 2 to the power of 2.
4R222
Rewrite 22 as 2.
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Use axn=axn to rewrite 2 as 212.
4R2(212)2
Apply the power rule and multiply exponents, (am)n=amn.
4R2⋅212⋅2
Combine 12 and 2.
4R2⋅222
Cancel the common factor of 2.
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Cancel the common factor.
4R2⋅222
Divide 1 by 1.
4R2⋅21
4R2⋅21
Evaluate the exponent.
4R2⋅2
4R2⋅2
Multiply 2 by 4.
8R2
Simplify (2R square root of 2)^2

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