Question #02952

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Question #02952

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Answer 1 · 2016-11-07T01:25:30

$- \frac{1023}{256} \approx - 3.996$ $-1023/256 approx -3.996$

Explanation:

$[{(- 4)}^{- 4}] + [\frac{{(- 4)}^{- 2}}{{(- 4)}^{- 3}}]$ $[(−4)^(−4)]+[(−4)^(−2)/(−4)^(−3)]$
$= \frac{1}{256} + [\frac{\frac{1}{16}}{\frac{1}{- 64}}]$ $= 1/256 + [(1/16)/(1/-64)]$
$= \frac{1}{256} + [- \frac{64}{16}]$ $= 1/256 + [-64/16]$
$= \frac{1}{256} - 4$ $=1/256-4$
$= \frac{1}{256} - \frac{1024}{256}$ $=1/256-1024/256$
$= - \frac{1023}{256}$ $=-1023/256$

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Question #02952

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