Divide ((10a^3)/b)/((4a^5b)/(3b^4))

Math
10a3b4a5b3b4
Cancel the common factor of b and b4.
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Factor b out of 4a5b.
10a3bb(4a5)3b4
Cancel the common factors.
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Factor b out of 3b4.
10a3bb(4a5)b(3b3)
Cancel the common factor.
10a3bb(4a5)b(3b3)
Rewrite the expression.
10a3b4a53b3
10a3b4a53b3
10a3b4a53b3
Multiply the numerator by the reciprocal of the denominator.
10a3b⋅3b34a5
Cancel the common factor of 2a3.
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Factor 2a3 out of 10a3.
2a3(5)b⋅3b34a5
Factor 2a3 out of 4a5.
2a3(5)b⋅3b32a3(2a2)
Cancel the common factor.
2a3⋅5b⋅3b32a3(2a2)
Rewrite the expression.
5b⋅3b32a2
5b⋅3b32a2
Cancel the common factor of b.
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Factor b out of 3b3.
5b⋅b(3b2)2a2
Cancel the common factor.
5b⋅b(3b2)2a2
Rewrite the expression.
53b22a2
53b22a2
Combine 5 and 3b22a2.
5(3b2)2a2
Multiply 3 by 5.
15b22a2
Divide ((10a^3)/b)/((4a^5b)/(3b^4))

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