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The given expression is:

\[
(2 \times 10^3) \times (4 \times 10^2)
\]

### Step-by-step solution:

1. **Multiply the constants**: 
   \[
   2 \times 4 = 8
   \]

2. **Multiply the powers of 10**:
   \[
   10^3 \times 10^2 = 10^{3+2} = 10^5
   \]

3. **Combine the results**:
   \[
   8 \times 10^5
   \]

### Final answer in scientific notation:
\[
8 \times 10^5
\]

Would you like further clarification or details?

Here are 5 related questions to deepen your understanding:
1. What are the basic rules for multiplying numbers in scientific notation?
2. How do you handle addition or subtraction in scientific notation?
3. What is the benefit of using scientific notation for very large or small numbers?
4. How do you convert a number from standard form to scientific notation?
5. Can you multiply or divide numbers with different exponents in scientific notation?

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

Multiply. Write your answer in scientific notation. (2 × 10^3)(4 × 10^2)

Learn how to multiply numbers in scientific notation with the problem (2 × 10^3)(4 × 10^2). This solution uses multiplication of constants and the law of exponents to simplify the expression. Perfect for Grades 7-9.

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