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For two positive integers 'a' & 'b' if (a+b)^a+b is divisivble by 500 then what is the least possible value of 'a' * 'b' .

 Aug 12, 2018
 #1
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I think the smallest "a and b" would be:

a = 1  and  b=9, [1 + 9]^(1+9) =10^10 mod 500 =0

So, a x b =1 x 9 =9 - the least possible value of (a*b)

 Aug 12, 2018
 #2
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thnx for the help the answer is correct .

smiley

Darkside  Aug 14, 2018

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