The value of (2^-14 (OG16)

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The value of (2^-14 (OG16)

by boomgoesthegmat » Thu May 19, 2016 3:49 pm
The value of (2^-14 + 2^-15 + 2^-16 + 2^-17)/5 is how many times the value of 2^-17?

A) 3/2
B) 5/2
C) 3
D) 4
E) 5

OA: C

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by OptimusPrep » Thu May 19, 2016 7:39 pm
boomgoesthegmat wrote:The value of (2^-14 + 2^-15 + 2^-16 + 2^-17)/5 is how many times the value of 2^-17?

A) 3/2
B) 5/2
C) 3
D) 4
E) 5

OA: C
(2^-14 + 2^-15 + 2^-16 + 2^-17)/5 = 2^-17*(2^3 + 2^2 + 2 + 1) / 5
= 2^-17 * (15)/5 = 2^-17 * 3

Correct Option: C