Answer:
m = 6
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{-n}}=a^{m+n}\\\\[/tex]
2^m ÷ 2^ -4 = 4^5
[tex]\frac{2^{m}}{2^{-4}}=(2^{2})^{5}\\\\\\2^{m+4} = 2^{2*5}\\\\2^{m+4} = 2^{10}[/tex]
Compare the powers,
m + 4 = 10
m = 10 - 4
