Answer :

To solve the problem [tex]\(163 \times\left(6002 \times 10^{23}\right)\)[/tex], we can break it down into simpler steps:

1. Calculate the multiplication inside the parentheses:

- Start with [tex]\(6002 \times 10^{23}\)[/tex].

When you multiply 6002 by [tex]\(10^{23}\)[/tex], you are essentially shifting the decimal point of 6002 twenty-three places to the right. This results in:

[tex]\[
6002 \times 10^{23} = 600200000000000000000000000
\][/tex]

2. Multiply the result by 163:

- Take the number obtained in the first step, which is 600200000000000000000000000, and multiply it by 163.

[tex]\[
163 \times 600200000000000000000000000
\][/tex]

Performing this multiplication gives:

[tex]\[
97832600000000000000000000000
\][/tex]

Thus, the final result of the expression [tex]\(163 \times (6002 \times 10^{23})\)[/tex] is:

[tex]\[
97832600000000000000000000000
\][/tex]

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