Simplify (2m^4k^3)*(2(-3mk^2))*3

Math
(2m4k3)⋅(2(-3mk2))⋅3
Multiply m4 by m by adding the exponents.
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Move m.
2(m⋅m4)k3⋅(2(-3k2))⋅3
Multiply m by m4.
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Raise m to the power of 1.
2(m1m4)k3⋅(2(-3k2))⋅3
Use the power rule aman=am+n to combine exponents.
2m1+4k3⋅(2(-3k2))⋅3
2m1+4k3⋅(2(-3k2))⋅3
Add 1 and 4.
2m5k3⋅(2(-3k2))⋅3
2m5k3⋅(2(-3k2))⋅3
Multiply k3 by k2 by adding the exponents.
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Move k2.
2m5(k2k3)⋅(2⋅(-3))⋅3
Use the power rule aman=am+n to combine exponents.
2m5k2+3⋅(2⋅(-3))⋅3
Add 2 and 3.
2m5k5⋅(2⋅(-3))⋅3
2m5k5⋅(2⋅(-3))⋅3
Multiply 2 by -3.
2m5k5⋅-6⋅3
Multiply -6 by 2.
-12m5k5⋅3
Multiply 3 by -12.
-36m5k5
Simplify (2m^4k^3)*(2(-3mk^2))*3

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