To find the result of [tex]\(\left(2^3\right)^2\)[/tex], we need to follow these steps:
1. Calculate the inner exponentiation [tex]\(2^3\)[/tex]:
[tex]\[ 2^3 = 2 \times 2 \times 2 = 8 \][/tex]
2. Use the result of the first step as the base for the outer exponentiation. We need to raise 8 to the power of 2:
[tex]\[ 8^2 = 8 \times 8 = 64 \][/tex]
Thus, the result of [tex]\(\left(2^3\right)^2\)[/tex] is [tex]\(64\)[/tex].
The correct answer is:
D. 64
