find the remainder of 3^100 when divided by 7.
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Answered by
38
Given:
3¹⁰⁰ when divided by 7
To find:
The remainder
Solution:
We will solve this by the remainder theorem,
so, we will write the 3 to the power 100 in terms of the nearest to the multiple of the 7
we can write 27 as 28-1
28 is the multiple of 7 so we get:
We have the negative remainder that is -3,
to find the positive remainder we just add 7 to it.
- -3+7 = +4
So the remainder is +4
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