Evaluate (5( cube root of 32m^4))/( cube root of 4m)

Math
5(32m43)4m3
Combine 32m43 and 4m3 into a single radical.
532m44m3
Reduce the expression 32m44m by cancelling the common factors.
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Factor 4 out of 32m4.
54(8m4)4m3
Factor 4 out of 4m.
54(8m4)4(m)3
Cancel the common factor.
54(8m4)4m3
Rewrite the expression.
58m4m3
58m4m3
Reduce the expression by cancelling the common factors.
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Reduce the expression 8m4m by cancelling the common factors.
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Factor m out of 8m4.
5m(8m3)m3
Raise m to the power of 1.
5m(8m3)m13
Factor m out of m1.
5m(8m3)m⋅13
Cancel the common factor.
5m(8m3)m⋅13
Rewrite the expression.
58m313
58m313
Divide 8m3 by 1.
58m33
58m33
Rewrite 8m3 as (2m)3.
5(2m)33
Pull terms out from under the radical, assuming real numbers.
5(2m)
Multiply 2 by 5.
10m
Evaluate (5( cube root of 32m^4))/( cube root of 4m)

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