Question

(mz^3 ​​ )(−2z ​n ​​ )=24z ^4 ​​ What is M and N ?

Answer 1

M=12/n
N=12/m

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

Answer 2

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