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Oct 13 to Jan 7, 2027

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Logan Thompson
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Problem solving

Expert replies
Source: — Problem Solving |

by [email protected] » Sat Jan 23, 2016 10:19 am
Hi Noman,

We're told that Y = 4^10 + 4^11 + 4^12 + 4^13

We can 'factor out' 4^10 from each of those 'pieces', which gives us...

4^10 + 4^11 + 4^12 + 4^13 =
4^10 (4^0 + 4^1 + 4^2 + 4^3) =
4^10 (1 + 4 + 16 + 64) =
4^10 (85) =
4^10 (5)(17) =

We're asked which of the 5 answers is divisible into Y.

Final Answer: C

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