Let's evaluate the given expression step by step:
Given expression:
[tex]\[ 8^3 - 9 \cdot 2 \div 3 \][/tex]
1. Evaluate [tex]\(8^3\)[/tex]:
[tex]\[
8^3 = 8 \cdot 8 \cdot 8 = 512
\][/tex]
2. Evaluate the multiplication [tex]\(9 \cdot 2\)[/tex]:
[tex]\[
9 \cdot 2 = 18
\][/tex]
3. Evaluate the division [tex]\(18 \div 3\)[/tex]:
[tex]\[
18 \div 3 = 6.0
\][/tex]
4. Now subtract the result of the division from [tex]\(8^3\)[/tex]:
[tex]\[
512 - 6.0 = 506.0
\][/tex]
Thus, the value of the expression [tex]\(8^3 - 9 \cdot 2 \div 3\)[/tex] is:
[tex]\[
\boxed{506.0}
\][/tex]
