Question

2^m ÷ 2^-4 = 4^5 value of m​

Answer 1

Answer:

2^m / 2^-4 =

2^m × 2^4 =

2^m × 16 = 4^5 = 1024

2^m = 1024/16 = 64

As 64 = 2^6

m = 6

Answer 2

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2^m ÷ 2^-4 = 4⁵

[ By the Identity:- a^x ÷ a^y = a^(x-y)]

=> 2^m-(-4) = (2²)⁵

[ By the Identity:- (a^x)^y = a^(xy) ]

=> 2^m+4 = 2¹⁰

Comparing the Powers

m + 4 = 10

m = 10 - 4

m = 6