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# The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is

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The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is [#permalink]

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31 May 2018, 22:28
$${\frac{1}{5}*(2^{-14}+2^{-15}+2^{-16}+2^{-17})}$$ = K * $$2^{-17}$$

To simplify multiply both sides by $$2^{17}$$ to get:-

$${\frac{1}{5}*(2^3+2^2+2^1+1)}$$ = K * 1[/m]

This implies k = 3 (Correct Answer)
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The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is   [#permalink] 31 May 2018, 22:28

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