Simplify ((-4k^8)^3)/((6m^6)^2)

Math
(-4k8)3(6m6)2
Simplify the numerator.
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Apply the product rule to -4k8.
(-4)3(k8)3(6m6)2
Raise -4 to the power of 3.
-64(k8)3(6m6)2
Multiply the exponents in (k8)3.
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Apply the power rule and multiply exponents, (am)n=amn.
-64k8⋅3(6m6)2
Multiply 8 by 3.
-64k24(6m6)2
-64k24(6m6)2
-64k24(6m6)2
Simplify the denominator.
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Apply the product rule to 6m6.
-64k2462(m6)2
Raise 6 to the power of 2.
-64k2436(m6)2
Multiply the exponents in (m6)2.
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Apply the power rule and multiply exponents, (am)n=amn.
-64k2436m6⋅2
Multiply 6 by 2.
-64k2436m12
-64k2436m12
-64k2436m12
Reduce the expression by cancelling the common factors.
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Cancel the common factor of -64 and 36.
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Factor 4 out of -64k24.
4(-16k24)36m12
Cancel the common factors.
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Factor 4 out of 36m12.
4(-16k24)4(9m12)
Cancel the common factor.
4(-16k24)4(9m12)
Rewrite the expression.
-16k249m12
-16k249m12
-16k249m12
Move the negative in front of the fraction.
-16k249m12
-16k249m12
Simplify ((-4k^8)^3)/((6m^6)^2)

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