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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]
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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