Divide ((3x^7)/(2x^5))÷((15x)/(4x^3))

Math
3x72x5÷15x4x3
To divide by a fraction, multiply by its reciprocal.
3x72x5⋅4x315x
Cancel the common factor of 3x.
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Factor 3x out of 3×7.
3x(x6)2×5⋅4x315x
Factor 3x out of 15x.
3x(x6)2×5⋅4x33x(5)
Cancel the common factor.
3x⋅x62x5⋅4x33x⋅5
Rewrite the expression.
x62x5⋅4×35
x62x5⋅4×35
Cancel the common factor of 2×3.
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Factor 2×3 out of 2×5.
x62x3(x2)⋅4×35
Factor 2×3 out of 4×3.
x62x3(x2)⋅2×3(2)5
Cancel the common factor.
x62x3x2⋅2×3⋅25
Rewrite the expression.
x6x2⋅25
x6x2⋅25
Multiply x6x2 and 25.
x6⋅2×2⋅5
Cancel the common factor of x6 and x2.
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Factor x2 out of x6⋅2.
x2(x4⋅2)x2⋅5
Cancel the common factors.
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Factor x2 out of x2⋅5.
x2(x4⋅2)x2(5)
Cancel the common factor.
x2(x4⋅2)x2⋅5
Rewrite the expression.
x4⋅25
x4⋅25
x4⋅25
Move 2 to the left of x4.
2×45
Divide ((3x^7)/(2x^5))÷((15x)/(4x^3))

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