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The evaluated result of \((8.3 \times 10^2)(2.0 \times 10^7)\) is \(1.66 \times 10^{10}\), expressed in scientific notation. 

Thus, the correct answer is the last option: \(1.66 \times 10^{10}\).

Do you want any more details on this calculation or have any other questions?

Here are 5 related questions for practice:
1. What is \( (4.5 \times 10^3)(3.2 \times 10^5) \) in scientific notation?
2. How do you multiply two numbers expressed in scientific notation?
3. Simplify \( (9.1 \times 10^4) / (2.0 \times 10^2) \) and express the answer in scientific notation.
4. What is the result of \( (1.2 \times 10^6) + (3.4 \times 10^5) \)?
5. How do you convert a large number like 780,000,000 into scientific notation?

**Tip:** When multiplying numbers in scientific notation, multiply the coefficients and then add the exponents of the powers of 10.

Evaluate (8.3 × 10^2)(2.0 × 10^7). Express your answer in scientific notation.

Learn how to evaluate the multiplication of numbers expressed in scientific notation with the example (8.3 × 10^2)(2.0 × 10^7). This problem helps in understanding exponent addition and scientific notation multiplication. Suitable for Grades 8-10.

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