Question

If n = 8 and 16 · 2^m = 4^(n – 8), then m = ?

F. –4
G. –2
H. 0
J. 1
K. 8

Answer 1

`n = 8 , \\ \\ 16 \cdot 2^m = 4 ^(n - 8) \\ \\ 16 \cdot 2^m = 4 ^(8-8)\\ \\ 2^4 \cdot 2^m =(2^2 )^(0) \\ \\2^(4+m)=2^0\\ \\4+m=0 \\ \\m=-4 \\ \\Answer : \ F. \ \ - 4`