Let's carefully break down the given expression step-by-step:
Given expression: [tex]\(8^ 5(2(2(2+6)))^ 1^{ } 0\)[/tex]
1. Simplify the innermost parentheses first:
[tex]\[
2 + 6 = 8
\][/tex]
2. Evaluate the next level of parentheses:
[tex]\[
2 \times 8 = 16
\][/tex]
3. Proceed to the next outer level:
[tex]\[
2 \times 16 = 32
\][/tex]
4. Multiplying this result by 5:
[tex]\[
5 \times 32 = 160
\][/tex]
5. Finally, multiplying the result by 8, 1, and then by 0:
[tex]\[
8 \times 160 \times 1 \times 0 = 0
\][/tex]
So, the series of steps leads us through intermediate values of 8, 16, 32, 160, and finally results in [tex]\(0\)[/tex].
