The value of the operation [8][7] in Z6 and to write the answer in the...

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 ${\displaystyle x=y\pm odm}$. This relation is called as congruence modulo m.
Calculation:
It is known that, [x] + [y] = [x+y].
Then, the value of the expression becomes as follows.
${\displaystyle \left[8\right]\left[7\right]=[8\times 7]}$
=[56]
Since ${\displaystyle 56\equiv 2\pm od6}$. Thus [8][7]=[2] in ${\displaystyle Z_6}$.
Therefore, the value of the expression is [2].