Question

find the unit digit in the expression
55^{725} +73^{5810} +22^{853}

IT IS A CHALLANGING QUESTION

Answer 1

The given expression is $55^{725}+73^{5810}+22^{853}$.

Here, we have to find the unit digit in the given expression.

Unit digit of a number: Unit digit of a number is the digit in the one's place of the number. That is it is the right most digit of the number.

The unit digit of $55^{725}$ is $5$

The unit digit of $73^{5810}$ is $9$ (Remainder is $2$)

The unit digit of $22^{853}$ is $2$

The unit digit of the expression $=5+9+2$

                                                     $=16$

Therefore, the unit digit of the expression $55^{725}+73^{5810}+22^{853}$ is $6$.

Answer 2

The unit digit in the expression $55^{725}+73^{5810}+22^{853}$ is  $6$.

Unit digit

The digit in the one's place of a number is called the unit digit. That is, it is the number's rightmost digit.

Given:

The expression is,

$55^{725}+73^{5810}+22^{853}$

Explanation:

The unit digit of figure $55^{725}$ is 5.

The unit digit of figure $73^{5810}$ is 9 (As, the remainder comes out to be 2).

The unit digit of figure $22^{853}$ is 2.

The unit digit of the entire expression comes out $=5+9+2$

$=16$

Thus, the unit digit of the expression $55^{725}+73^{5810}+22^{853}$ is $6$.

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