2 rasied to 125 divided 11 what a reminder
Answers
Answer:
answer is 5
Step-by-step explanation:
The remainder will be 5
When the numbers are divided from the starting point we get the remainders as follows. So it will stop at a certain point and then start repeating at a certain point.
For example,
2⁰/11 = 1/11, so remainder = 1
2¹/ 11 = 2/11, so remainder = 2
2²/11 = 4/11, so remainder = 4
2³/11 = 8/11, so remainder = 8
2⁴/11 = 16/11, so remainder = 5
2⁵/11 = 32/11, so remainder = 10
2⁶/11 = 64/11, so remainder = 9
2⁷/11 = 128/11, so remainder = 7
2^8/11 = 256/11, so remainder = 3
2^9/11 = 512/11, so remainder = 6
2^10/11 = 1024/11, so remainder = 1
Hence these remainder repeat itself at an interval of ten
Hence ,
Remainder can be calculated as divide 125 by 10( after 10 digits it repeats once again)
Remainder will be 5. So fifth number in the order is 5. So the remainder is 5.
2^0/11 = 1/11, 1 cannot be give whole number when divided by 11 so remainder that's why reminder is= 1
2^1/ 11 = 2/11, 2 cannot be give whole number when divided by 11 so remainder that's why reminder is= 2
2^2/11 = 4/11, 4 cannot be give whole number when divided by 11 so remainder that's why reminder is = 4
2^3/11 = 8/11, 1 cannot be give whole number when divided by 11 so remainder that's why reminder is = 8
2^4/11 = 16/11, when 16 is divided by 11 reminder is = 5
2^5/11 = 32/11, when 32 is divided by 11 reminder= 10
2^6/11 = 64/11, when 64 is divided by 11 reminder = 9
2^7/11 = 128/11,when 128 is divided by 11 reminder = 7
2^8/11 = 256/11, when 256 is divided by 11 reminder = 3
2^9/11 = 512/11, when 512 is divided by 11 reminder= 6
2^10/11 = 1024/11, when 16 is divided by 11 reminder = 1
we can see that these remainder repeat itself at an interval of ten
when we calculate 125/10 reminder is 5 so we conclude that so on the sth number reminder is 5 hence
when 2^125/11
reminder is 5