Evaluate 4 square root of 80* square root of 20

Math
480⋅20
Rewrite 80 as 42⋅5.
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Factor 16 out of 80.
416(5)⋅20
Rewrite 16 as 42.
442⋅5⋅20
442⋅5⋅20
Pull terms out from under the radical.
4(45)⋅20
Multiply 4 by 4.
165⋅20
Rewrite 20 as 22⋅5.
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Factor 4 out of 20.
165⋅4(5)
Rewrite 4 as 22.
165⋅22⋅5
165⋅22⋅5
Pull terms out from under the radical.
165⋅(25)
Multiply 165(25).
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Multiply 2 by 16.
3255
Raise 5 to the power of 1.
32(515)
Raise 5 to the power of 1.
32(5151)
Use the power rule aman=am+n to combine exponents.
3251+1
Add 1 and 1.
3252
3252
Rewrite 52 as 5.
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Use axn=axn to rewrite 5 as 512.
32(512)2
Apply the power rule and multiply exponents, (am)n=amn.
32⋅512⋅2
Combine 12 and 2.
32⋅522
Cancel the common factor of 2.
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Cancel the common factor.
32⋅522
Divide 1 by 1.
32⋅51
32⋅51
Evaluate the exponent.
32⋅5
32⋅5
Multiply 32 by 5.
160
Evaluate 4 square root of 80* square root of 20

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