Simplify (((3d)^6)÷(-1/2d^2))÷12d^3

Math
(3d)6÷(-12d2)÷12d3
Rewrite the division as a fraction.
(3d)6÷(-12d2)12d3
Multiply the numerator by the reciprocal of the denominator.
(3d)6÷(-12d2)⋅112d3
Rewrite the division as a fraction.
(3d)6-12d2⋅112d3
Simplify the numerator.
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Apply the product rule to 3d.
36d6-12d2⋅112d3
Raise 3 to the power of 6.
729d6-12d2⋅112d3
729d6-12d2⋅112d3
Simplify terms.
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Combine d2 and 12.
729d6-d22⋅112d3
Cancel the common factor of 3d3.
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Factor 3d3 out of 729d6.
3d3(243d3)-d22⋅112d3
Factor 3d3 out of 12d3.
3d3(243d3)-d22⋅13d3(4)
Cancel the common factor.
3d3(243d3)-d22⋅13d3⋅4
Rewrite the expression.
243d3-d22⋅14
243d3-d22⋅14
Multiply 243d3-d22 and 14.
243d3-d22⋅4
Multiply 4 by -1.
243d3-4d22
Combine -4 and d22.
243d3-4d22
Cancel the common factor of -4 and 2.
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Factor 2 out of -4d2.
243d32(-2d2)2
Cancel the common factors.
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Factor 2 out of 2.
243d32(-2d2)2(1)
Cancel the common factor.
243d32(-2d2)2⋅1
Rewrite the expression.
243d3-2d21
Divide -2d2 by 1.
243d3-2d2
243d3-2d2
243d3-2d2
Cancel the common factor of d3 and d2.
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Factor d2 out of 243d3.
d2(243d)-2d2
Cancel the common factors.
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Factor d2 out of -2d2.
d2(243d)d2⋅-2
Cancel the common factor.
d2(243d)d2⋅-2
Rewrite the expression.
243d-2
243d-2
243d-2
Move the negative in front of the fraction.
-243d2
-243d2
Simplify (((3d)^6)÷(-1/2d^2))÷12d^3

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