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Let's solve the expression \((3 \times 10^2)(3 \times 10^5)\) and write the result in scientific notation.

### Step-by-Step Solution:

1. Multiply the coefficients (numbers outside the powers of 10):
   \[
   3 \times 3 = 9
   \]

2. Apply the laws of exponents to multiply the powers of 10:
   \[
   10^2 \times 10^5 = 10^{2+5} = 10^7
   \]

3. Now combine the result:
   \[
   9 \times 10^7
   \]

Thus, the result in scientific notation is:
\[
9 \times 10^7
\]

Would you like further details or have any other questions? Here are some related questions you might consider:

1. How do you add or subtract numbers in scientific notation?
2. What are the rules for dividing numbers in scientific notation?
3. How can you convert a very small number into scientific notation?
4. What is the importance of scientific notation in scientific fields?
5. How would this multiplication change if one factor was negative?

**Tip:** Always remember when multiplying or dividing numbers in scientific notation, apply the exponent rules (add for multiplication, subtract for division).

Learn how to multiply numbers in scientific notation with a step-by-step solution for (3 × 10^2) × (3 × 10^5). Understand the rules of exponentiation and scientific notation. Suitable for Grades 8-10.

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