Question

2^m ÷ 2^ -4 = 4^5 pls help

Answer 1

m = 6

Explanation:

`(a^(m))/(a^(-n))=a^(m+n)\\\\`

2^m ÷ 2^ -4 = 4^5

`(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