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Let  n be a positive integer. If  a = (3^2n   +4) ^ -1  , what is the remainder when a is divided by 9?

 May 12, 2019
 #1
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This question doesn't make a ton of sense.

 

a is clearly less than 1 and thus a divided by any integer m will be 0m + a,

i.e. a itself will be the remainder.  Are you sure a isn't supposed to just be 32n + 4?

 May 12, 2019
 #2
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yes, I'm sure

 May 12, 2019

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