To simplify the expression [tex]\(3.6 \times 10^{-1} \times 2.37 \times 10^2\)[/tex], we follow these steps:
1. Multiply the constants (numerical values):
[tex]\[
3.6 \times 2.37 = 8.532
\][/tex]
2. Combine the powers of 10:
[tex]\[
10^{-1} \times 10^2 = 10^{(-1 + 2)} = 10^1
\][/tex]
3. Combine the results:
[tex]\[
(3.6 \times 2.37) \times (10^{-1} \times 10^2) = 8.532 \times 10^1
\][/tex]
Therefore, the simplified form of the expression [tex]\(3.6 \times 10^{-1} \times 2.37 \times 10^2\)[/tex] is:
[tex]\[
8.532 \times 10^1
\][/tex]
The correct answer is:
D. [tex]\(8.532 \times 10^1\)[/tex]
