Answer: Choice C) -3m^12n^6
Explanation:
The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.
The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]
Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]
Since we get m^12, this points us to choice C as the final answer
For the sake of completeness, here's what the n terms divide to
[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]
