# Simplify ((4m^3)/(m^-2))^-3

(4m3m-2)-3
Move m-2 to the numerator using the negative exponent rule 1b-n=bn.
(4m3m2)-3
Multiply m3 by m2 by adding the exponents.
Move m2.
(4(m2m3))-3
Use the power rule aman=am+n to combine exponents.
(4m2+3)-3
Add 2 and 3.
(4m5)-3
(4m5)-3
Rewrite the expression using the negative exponent rule b-n=1bn.
1(4m5)3
Simplify the denominator.
Apply the product rule to 4m5.
143(m5)3
Raise 4 to the power of 3.
164(m5)3
Multiply the exponents in (m5)3.
Apply the power rule and multiply exponents, (am)n=amn.
164m5⋅3
Multiply 5 by 3.
164m15
164m15
164m15
Simplify ((4m^3)/(m^-2))^-3

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