Respuesta :

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

       m = 6