Evaluate (5 square root of 10)^2

Math
(510)2
Simplify the expression.
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Apply the product rule to 510.
52102
Raise 5 to the power of 2.
25102
25102
Rewrite 102 as 10.
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Use axn=axn to rewrite 10 as 1012.
25(1012)2
Apply the power rule and multiply exponents, (am)n=amn.
25⋅1012⋅2
Combine 12 and 2.
25⋅1022
Cancel the common factor of 2.
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Cancel the common factor.
25⋅1022
Divide 1 by 1.
25⋅101
25⋅101
Evaluate the exponent.
25⋅10
25⋅10
Multiply 25 by 10.
250
Evaluate (5 square root of 10)^2

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