To solve \(\frac{6 \times 10^5}{3 \times 10^2}\), follow these steps:

1. Separate the numerical coefficients and the powers of 10:
   \[
   \frac{6}{3} \times \frac{10^5}{10^2}
   \]
   
2. Simplify the numerical part:
   \[
   \frac{6}{3} = 2
   \]
   
3. Apply the rule of exponents: \(\frac{10^5}{10^2} = 10^{5-2} = 10^3\).

So, the expression simplifies to:
\[
2 \times 10^3
\]

Thus, \(\frac{6 \times 10^5}{3 \times 10^2} = 2 \times 10^3 = 2000\).

Would you like more details or have any questions?

Here are 5 related questions you can explore:
1. What is the result of \(\frac{8 \times 10^7}{4 \times 10^3}\)?
2. How do you simplify \(\frac{5 \times 10^8}{2 \times 10^4}\)?
3. What happens if the powers of 10 in the numerator and denominator are the same?
4. How do you multiply two numbers in scientific notation?
5. How do you divide two numbers with different powers of 10?

**Tip:** When dividing powers of 10, subtract the exponents.

Discover how to simplify 6×10^5 ÷ 3×10^2 step-by-step using scientific notation and exponent rules. This problem highlights key mathematical concepts suitable for Grades 7-9, including division and exponent subtraction.

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