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​(Simplify your answer. Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

To solve the multiplication problem and express the result in scientific notation, follow these steps:

The given expression is:

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

### Step 1: Multiply the constants
Multiply the numerical coefficients:
\[
3 \times 2 = 6
\]

### Step 2: Apply the laws of exponents
When multiplying powers of 10, add the exponents:
\[
10^2 \times 10^4 = 10^{2+4} = 10^6
\]

### Step 3: Write the result in scientific notation
Now, combine the results of the constant multiplication and the powers of 10:
\[
6 \times 10^6
\]

### Final Answer:
The result is:
\[
6 \times 10^6
\]

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

1. Simplify \((5 \times 10^3) \times (4 \times 10^2)\).
2. Multiply and write in scientific notation: \((7 \times 10^5) \times (3 \times 10^2)\).
3. How do you divide numbers in scientific notation, such as \((8 \times 10^6) \div (4 \times 10^2)\)?
4. Simplify \((1.5 \times 10^3) \times (2 \times 10^5)\).
5. What happens when you add or subtract numbers in scientific notation, like \(6 \times 10^4 + 3 \times 10^3\)?

**Tip:** When multiplying powers of 10, always remember to add the exponents!

Multiply and write the result in scientific notation. (3 × 10^2) (2 × 10^4)

Learn how to multiply (3 × 10^2) and (2 × 10^4) using scientific notation. This step-by-step solution covers exponents and the multiplication of powers of 10. Suitable for students in Grades 7-10.

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