Divide ((5x^6)/(x^2y))÷((10x^2)/y)

Math
5x6x2y÷10x2y
To divide by a fraction, multiply by its reciprocal.
5x6x2y⋅y10x2
Cancel the common factor of 5×2.
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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
Cancel the common factor of y.
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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
Cancel the common factor of x4 and x2.
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Factor x2 out of x4.
x2x2x2⋅2
Cancel the common factors.
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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)

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