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

Math
108a4b534a2b43
Combine 108a4b53 and 4a2b43 into a single radical.
108a4b54a2b43
Reduce the expression 108a4b54a2b4 by cancelling the common factors.
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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.
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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.
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Reduce the expression 27a2b5b4 by cancelling the common factors.
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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).
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Rewrite 27 as 33.
33a2b3
Add parentheses.
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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