SOLUTION: prove that {{{16^4-2^13-4^5}}} is divisible by 11

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Question 1064706: prove that 16%5E4-2%5E13-4%5E5 is divisible by 11
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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16%5E4-2%5E13-4%5E5 = 56320 = 11*5120.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

prove that 16%5E4-2%5E13-4%5E5 is divisible by 11
16%5E4+-+2%5E13+-+4%5E5 

%282%5E4%29%5E4+-+2%5E13+-+%282%5E2%29%5E5

2%5E16+-+2%5E13+-+2%5E10

2%5E10%282%5E6+-+2%5E3+-+1%29

matrix%281%2C3%2C+2%5E10%2864+-+8+-+1%29%2C+%22=%22%2C+2%5E10+%2A+55%29

 ------ PROVEN!