https://file.aiquickdraw.com/mathbot/file/1726102825132912p47za.jpg

The question in the image asks to calculate \((5.4 \times 10^6) \times (9 \times 10^7)\) and to provide the answer in scientific notation.

### Step-by-step solution:
1. **Multiply the base numbers**:  
   \(5.4 \times 9 = 48.6\)

2. **Multiply the powers of 10**:  
   \(10^6 \times 10^7 = 10^{6+7} = 10^{13}\)

3. **Combine the results**:  
   \(48.6 \times 10^{13}\)

4. **Adjust into scientific notation**:  
   \(48.6\) is written as \(4.86 \times 10^1\), so we combine it with \(10^{13}\):  
   \(4.86 \times 10^1 \times 10^{13} = 4.86 \times 10^{14}\)

Thus, the final answer is:
\[
\boxed{4.86 \times 10^{14}}
\]

Would you like further details or have any questions?

### Related Questions:
1. How do you multiply numbers in scientific notation in general?
2. How can you adjust a result to proper scientific notation if the coefficient is larger than 10?
3. What are the rules for multiplying powers of ten?
4. Can you convert this result to standard form instead of scientific notation?
5. How does scientific notation help simplify large calculations?

**Tip**: When multiplying numbers in scientific notation, handle the coefficients and the powers of ten separately for simplicity.

Learn how to multiply numbers in scientific notation with a step-by-step solution to (5.4 × 10^6)(9 × 10^7). Understand how to handle base numbers and exponents, using the multiplication rule for exponents. Suitable for Grades 8-10.

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