https://file.aiquickdraw.com/mathbot/file/1726629118387duakqpop.jpg

The problem in the image is asking to divide two numbers expressed in scientific notation:

\[
\frac{6.5 \times 10^{11}}{1.3 \times 10^{8}}
\]

To solve this, let's break it into two steps:

1. **Divide the coefficients**:  
   \[
   \frac{6.5}{1.3} = 5
   \]

2. **Subtract the exponents of the powers of 10**:  
   \[
   10^{11} \div 10^{8} = 10^{11-8} = 10^3
   \]

Thus, the result is:
\[
5 \times 10^3
\]

So, the final answer in scientific notation is:
\[
5 \times 10^3
\]

Would you like further details on any steps?

Here are 5 related questions to expand your understanding:
1. How do you multiply numbers in scientific notation?
2. What are the rules for adding or subtracting exponents when dividing powers of 10?
3. Can you explain the difference between scientific and standard notation?
4. How would you solve a similar problem with different exponents, such as \( \frac{9.6 \times 10^5}{4.8 \times 10^2} \)?
5. What are some practical applications of using scientific notation?

**Tip:** When multiplying or dividing in scientific notation, handle the coefficients and powers of 10 separately to make the process simpler.

Find 6.5 × 10^11 ÷ 1.3 × 10^8. Write your answer in scientific notation.

Learn how to divide two numbers in scientific notation: 6.5 × 10^11 ÷ 1.3 × 10^8. This example covers key exponent rules and the steps to solve problems involving powers of 10. Suitable for students in Grades 8-10.

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