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.
