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Angla907 Angla907
  • 11-06-2014
  • Mathematics
Answered

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

F. –4

G. –2

H. 0

J. 1

K. 8

Verified Answer :

Lilith
Lilith Lilith
  • 11-06-2014

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

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