5x6x2y÷10x2y

To divide by a fraction, multiply by its reciprocal.

5x6x2y⋅y10x2

Factor 5×2 out of 5×6.

5×2(x4)x2y⋅y10x2

Factor 5×2 out of 10×2.

5×2(x4)x2y⋅y5x2(2)

Cancel the common factor.

5x2x4x2y⋅y5x2⋅2

Rewrite the expression.

x4x2y⋅y2

x4x2y⋅y2

Factor y out of x2y.

x4yx2⋅y2

Cancel the common factor.

x4yx2⋅y2

Rewrite the expression.

x4x2⋅12

x4x2⋅12

Multiply x4x2 and 12.

x4x2⋅2

Factor x2 out of x4.

x2x2x2⋅2

Cancel the common factors.

Factor x2 out of x2⋅2.

x2x2x2(2)

Cancel the common factor.

x2x2x2⋅2

Rewrite the expression.

x22

x22

x22

Divide ((5x^6)/(x^2y))÷((10x^2)/y)