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The given expression is:

\[
(4 \times 10^5) \times (5 \times 10^3)
\]

### Step 1: Simplify the numbers
Multiply the coefficients \(4\) and \(5\):

\[
4 \times 5 = 20
\]

### Step 2: Apply the rules of exponents
When multiplying numbers with the same base (in this case, \(10\)), add the exponents:

\[
10^5 \times 10^3 = 10^{5+3} = 10^8
\]

### Step 3: Combine the results
The simplified form is:

\[
20 \times 10^8
\]

Therefore, the correct option is:

**\(20 \times 10^8\)**.

Would you like further details or have any questions? Here are some related questions for practice:

1. How do you convert a large number like 200,000,000 into scientific notation?
2. What are the rules for multiplying powers of ten with different exponents?
3. How would the result change if one of the numbers had been negative?
4. How do you divide numbers in scientific notation?
5. Can you apply the same exponent rules to addition and subtraction?

**Tip:** When multiplying powers of ten, simply add their exponents!

Simplify and write in scientific notation: (4 × 10^5) × (5 × 10^3)

Learn how to simplify and write in scientific notation for the expression (4 × 10^5) × (5 × 10^3). This step-by-step guide explores the multiplication of powers of ten and applying exponent rules, ideal for students in Grades 7-9.

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