The value of the operation [11]^{8} in Z_{5} and to write the answer in the form [r] with 0\leq <m.

Globokim8

Globokim8

Answered question

2021-04-24

The value of the operation [11]8 in Z5 and to write the answer in the form [r] with 0m.

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-04-26Added 107 answers

Definition used:
Congruence.
Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as x=y±odm. This relation is called as congruence modulo m.
Calculation:
It is known that, [x] = [y] if [x=y±odm].
Consider the values and congruence classes modulo m,
[11]8 and m = 5.
Since 11=1±od5, then
[11]=[1]
[11]8=[1]8
=[18]
=[1]
Thus, [11]8=[1] in Z5.
Therefore, the value of the expression is [1].

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