Divide ((8y)/(a^4))÷((4y^5)/(5a^5y))

Math
8ya4÷4y55a5y
To divide by a fraction, multiply by its reciprocal.
8ya4⋅5a5y4y5
Cancel the common factor of 4y.
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Factor 4y out of 8y.
4y(2)a4⋅5a5y4y5
Factor 4y out of 4y5.
4y(2)a4⋅5a5y4y(y4)
Cancel the common factor.
4y⋅2a4⋅5a5y4y⋅y4
Rewrite the expression.
2a4⋅5a5yy4
2a4⋅5a5yy4
Cancel the common factor of a4.
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Factor a4 out of 5a5y.
2a4⋅a4(5ay)y4
Cancel the common factor.
2a4⋅a4(5ay)y4
Rewrite the expression.
25ayy4
25ayy4
Combine 2 and 5ayy4.
2(5ay)y4
Multiply 5 by 2.
10(ay)y4
Cancel the common factor of y and y4.
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Factor y out of 10(ay).
y(10(a))y4
Cancel the common factors.
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Factor y out of y4.
y(10(a))y⋅y3
Cancel the common factor.
y(10(a))y⋅y3
Rewrite the expression.
10(a)y3
10(a)y3
10ay3
Divide ((8y)/(a^4))÷((4y^5)/(5a^5y))

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