8ya4÷4y55a5y

To divide by a fraction, multiply by its reciprocal.

8ya4⋅5a5y4y5

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

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

Factor y out of 10(ay).

y(10(a))y4

Cancel the common factors.

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))