# Simplify ( cube root of 108a^4b^5)/( cube root of 4a^2b^4)

108a4b534a2b43
Combine 108a4b53 and 4a2b43 into a single radical.
108a4b54a2b43
Reduce the expression 108a4b54a2b4 by cancelling the common factors.
Factor 4 out of 108a4b5.
4(27a4b5)4a2b43
Factor 4 out of 4a2b4.
4(27a4b5)4(a2b4)3
Cancel the common factor.
4(27a4b5)4(a2b4)3
Rewrite the expression.
27a4b5a2b43
27a4b5a2b43
Reduce the expression 27a4b5a2b4 by cancelling the common factors.
Factor a2 out of 27a4b5.
a2(27a2b5)a2b43
Factor a2 out of a2b4.
a2(27a2b5)a2(b4)3
Cancel the common factor.
a2(27a2b5)a2b43
Rewrite the expression.
27a2b5b43
27a2b5b43
Reduce the expression by cancelling the common factors.
Reduce the expression 27a2b5b4 by cancelling the common factors.
Factor b4 out of 27a2b5.
b4(27a2b)b43
Multiply by 1.
b4(27a2b)b4⋅13
Cancel the common factor.
b4(27a2b)b4⋅13
Rewrite the expression.
27a2b13
27a2b13
Divide 27a2b by 1.
27a2b3
27a2b3
Rewrite 27a2b as 33(a2b).
Rewrite 27 as 33.
33a2b3
33(a2b)3
33(a2b)3
Pull terms out from under the radical.
3a2b3
Simplify ( cube root of 108a^4b^5)/( cube root of 4a^2b^4)

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