Answer :

Alright, let's go through the steps to solve the given problem in detail.

1. Expression to Evaluate:
We have two parts of the expression we need to evaluate:
[tex]\[ 8^3 \cdot 8^2 \][/tex]
and
[tex]\[ 8 \times 8,818 \][/tex]

2. First Part:
Let's start with the first part of the expression, [tex]\(8^3 \cdot 8^2\)[/tex].

- First, we calculate [tex]\(8^3\)[/tex]:
[tex]\[ 8^3 = 8 \times 8 \times 8 = 512 \][/tex]

- Next, we calculate [tex]\(8^2\)[/tex]:
[tex]\[ 8^2 = 8 \times 8 = 64 \][/tex]

- Now, multiply these two results together:
[tex]\[ 512 \times 64 = 32,768 \][/tex]

So, for the first part, we have:
[tex]\[ 8^3 \cdot 8^2 = 32,768 \][/tex]

3. Second Part:
Next, we need to evaluate the second part of the expression, [tex]\(8 \times 8,818\)[/tex].

- Simply multiply 8 by 8,818:
[tex]\[ 8 \times 8,818 = 70,544 \][/tex]

4. Results:
Thus, the results for the given expressions are:
[tex]\[ 8^3 \cdot 8^2 = 32,768 \][/tex]
and
[tex]\[ 8 \times 8,818 = 70,544 \][/tex]

So, the final detailed solutions to the problems [tex]\(8^3 \cdot 8^2\)[/tex] and [tex]\(8 \times 8,818\)[/tex] are 32,768 and 70,544 respectively.