Question

2^m ÷ 2^ -4 = 4^5 pls help

Answer 1

Answer:

m = 6

Step-by-step explanation:

$\frac{a^{m}}{a^{-n}}=a^{m+n}$

2^m ÷ 2^ -4 = 4^5

$\frac{2^{m}}{2^{-4}}=(2^{2})^{5}\\\\\\2^{m+4} = 2^{2*5}\\\\2^{m+4} = 2^{10}$

Compare the powers,

m + 4 = 10

       m = 10 - 4

       m = 6