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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: find the remainder ....................
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sboosy (3063)

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Olaaa!! Perrrfect answer. 539  [723 rates]

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5^1 =5 \ \mbox{When divided by 13 gives R = 5} \\ \\ 5^2 = 25 \ \mbox{When divided by 13 gives R = 12} \\ \\ 5^3 = 125\ \mbox{When divided by 13 gives R =8} \\ \\ 5^4 = 625\ \mbox{When divided by 13 gives R =1} \\ \\ 5^5 = 3125\ \mbox{When divided by 13 gives R = 5} \\ \\ \mbox{The remainder repeats for every 4 values} \\ \\ \mbox{Thus} \ 5^{99} \ \mbox{will have same R as} \ 5^3 \\ \\ \mbox{which is} \ 8
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