Divide ((3ax)/(2x^5))÷((15a)/(8x))

Math
3ax2x5÷15a8x
To divide by a fraction, multiply by its reciprocal.
3ax2x5⋅8x15a
Cancel the common factor of 3a.
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Factor 3a out of 3ax.
3a(x)2×5⋅8x15a
Factor 3a out of 15a.
3a(x)2×5⋅8x3a(5)
Cancel the common factor.
3ax2x5⋅8x3a⋅5
Rewrite the expression.
x2x5⋅8×5
x2x5⋅8×5
Cancel the common factor of 2x.
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Factor 2x out of 2×5.
x2x(x4)⋅8×5
Factor 2x out of 8x.
x2x(x4)⋅2x(4)5
Cancel the common factor.
x2x⋅x4⋅2x⋅45
Rewrite the expression.
xx4⋅45
xx4⋅45
Multiply xx4 and 45.
x⋅4×4⋅5
Cancel the common factor of x and x4.
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Factor x out of x⋅4.
x(4)x4⋅5
Cancel the common factors.
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Factor x out of x4⋅5.
x(4)x(x3⋅5)
Cancel the common factor.
x⋅4x(x3⋅5)
Rewrite the expression.
4×3⋅5
4×3⋅5
4×3⋅5
Move 5 to the left of x3.
45×3
Divide ((3ax)/(2x^5))÷((15a)/(8x))

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