To solve \(\frac{3 \times 10^6}{6 \times 10^2}\):

1. First, divide the coefficients (the numbers in front of the powers of 10):
   \[
   \frac{3}{6} = 0.5
   \]
2. Next, divide the powers of 10 by subtracting the exponents:
   \[
   10^6 \div 10^2 = 10^{6-2} = 10^4
   \]
3. Multiply the result of the coefficients with the result of the powers of 10:
   \[
   0.5 \times 10^4 = 0.5 \times 10,000 = 5,000
   \]

So, \(\frac{3 \times 10^6}{6 \times 10^2} = 5,000\).

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you simplify expressions with exponents?
2. What is scientific notation and how is it used?
3. How do you multiply and divide numbers with powers of 10?
4. What are some real-world applications of scientific notation?
5. How can you convert large numbers to and from scientific notation?

**Tip**: When dividing numbers in scientific notation, always subtract the exponents of the powers of 10!

Learn how to solve the division of powers of ten problem 3x10^6 ÷ 6x10^2 with a detailed step-by-step explanation. This problem uses scientific notation and exponent rules, perfect for students in Grades 7-9 looking to master these concepts.

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