Simplify (4 square root of 5)( square root of 5)

Math
(45)(5)
Multiply (45)(5).
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Raise 5 to the power of 1.
4(515)
Raise 5 to the power of 1.
4(5151)
Use the power rule aman=am+n to combine exponents.
451+1
Add 1 and 1.
452
452
Rewrite 52 as 5.
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Use axn=axn to rewrite 5 as 512.
4(512)2
Apply the power rule and multiply exponents, (am)n=amn.
4⋅512⋅2
Combine 12 and 2.
4⋅522
Cancel the common factor of 2.
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Cancel the common factor.
4⋅522
Divide 1 by 1.
4⋅51
4⋅51
Evaluate the exponent.
4⋅5
4⋅5
Multiply 4 by 5.
20
Simplify (4 square root of 5)( square root of 5)

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