(mz^3 )(−2z n )=24z ^4 what is m and n ?

M=12/n
N=12/m

Really you just need to do please excuse my dear aunt sally. and it should do the trick.

Assuming you had (mz³)(-2zn)=24z⁴
expand
remember
(ab)(cd)=(a)(b)(c)(d), associative/commutative

so

(m)(z³)(-2)(z)(n)=24z⁴
(-2)(m)(z³)(z)(n)=24z⁴
(-2)(m)(z⁴)(n)=24z⁴
-2mnz⁴=24z⁴
divide both sides by z⁴
-2mn=24
divide both sides by -2
mn=-12

m=-12/n
n=-12/m

Dwould be the answer