https://file.aiquickdraw.com/mathbot/file/1725500176668bklsb10v.jpg

The image you've uploaded is slightly blurry, but I can make out that the question involves a mathematical problem where you need to simplify a number written in scientific notation. The question seems to be about simplifying the expression \( 5.26 \times 10^{34} \times 3.9 \times 10^{-26} \).

Let me go through the process step-by-step to help you solve this.

### Simplifying the Expression:
You are given:
\[
(5.26 \times 10^{34}) \times (3.9 \times 10^{-26})
\]

1. **Multiply the coefficients**:
   - Multiply the numbers \(5.26\) and \(3.9\):
   \[
   5.26 \times 3.9 = 20.514
   \]

2. **Add the exponents**:
   - According to the laws of exponents, when multiplying powers of 10, you add the exponents:
   \[
   10^{34} \times 10^{-26} = 10^{34 + (-26)} = 10^8
   \]

3. **Final Result**:
   - So the result is:
   \[
   20.514 \times 10^8
   \]

However, it's common to write the coefficient in scientific notation with one non-zero digit before the decimal point. So, convert \(20.514\) into scientific notation:
\[
20.514 = 2.0514 \times 10^1
\]

Now combine the powers of 10:
\[
2.0514 \times 10^1 \times 10^8 = 2.0514 \times 10^9
\]

### Conclusion:
The simplified form of the expression is \( 2.0514 \times 10^9 \). Looking at the multiple choices from your image, the closest option should be **D: \( 2.1 \times 10^9 \)**.

Would you like further clarification or more details? 

Here are five related questions you can explore:
1. How do you handle division in scientific notation?
2. What are the rules for multiplying numbers in scientific notation?
3. Why do we convert numbers like 20.514 into standard scientific notation?
4. Can you simplify expressions with more than two terms in scientific notation?
5. How does scientific notation help in solving problems with very large or very small numbers?

**Tip:** When multiplying or dividing in scientific notation, always handle the coefficients and exponents separately to avoid mistakes.

Simplify the expression 5.26 × 10^34 × 3.9 × 10^-26.

Learn how to simplify the scientific notation expression 5.26 × 10^34 × 3.9 × 10^-26. This step-by-step solution covers exponent rules and multiplying numbers in scientific notation. Suitable for students in Grades 9-12.

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