what is the remainder when 5^99 is divded by 3?
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8 is the remainder when 5^99 is divided by 3
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Quotient=5.259073e68 is the final answer
And
1.577722e69 is the answer for 5^99
And
1.577722e69 is the answer for 5^99
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the remainder when 5^99 is divided by 13
4 years ago
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8 is the remainder.
4 years ago
using the concept of mod...
25 is conguent to -1 mod 13(means when -1 is subtracted from 25 it is divisible by 13)
5^2 is congruent to -1 mod 13
5^98 is congruent to -1 mod 13
hence, 5^98=13m-1
multipling by 5.....5^99=13.5.m - 5
so... 5^99=13n -13 + 8
5^99=13(n-1) +8
5^99+13m + 8
hence 8 is the remainder