Answer :

Let's find the value of the expression [tex]\(542 \times 92 + 8 \times 542\)[/tex] step-by-step.

Step 1: Calculate the first part of the expression [tex]\(542 \times 92\)[/tex].
- Multiplying 542 by 92, we get:
[tex]\[ 542 \times 92 = 49864 \][/tex]

Step 2: Calculate the second part of the expression [tex]\(8 \times 542\)[/tex].
- Multiplying 8 by 542, we get:
[tex]\[ 8 \times 542 = 4336 \][/tex]

Step 3: Add the results from the first and second parts.
[tex]\[ 49864 + 4336 = 54200 \][/tex]

Therefore, the final result is:
[tex]\[ 542 \times 92 + 8 \times 542 = 54200 \][/tex]

So we have:
(i) [tex]\( 542 \times 92 + 8 \times 542 = 49864 + 4336 = 54200 \)[/tex]