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Simplify: [tex]3.6 \times 10^{-1} \times 2.37 \times 10^2[/tex]

A. [tex]8.532 \times 10^2[/tex]
B. [tex]1.519 \times 10^{-3}[/tex]
C. [tex]0.1519 \times 10^{-3}[/tex]
D. [tex]8.532 \times 10^1[/tex]


Sagot :

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]
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