https://r2.erweima.ai/mathbot/image/1725496767504x0ijrddw.jpg

The problem in the image asks to use scientific notation to perform the following operation:

\[
\frac{(620)(1,000,000)(4,800)}{(9,200)(430)(0.0000000085)}
\]

To solve this using scientific notation:

### Step 1: Convert all numbers to scientific notation.

- \( 620 = 6.2 \times 10^2 \)
- \( 1,000,000 = 1 \times 10^6 \)
- \( 4,800 = 4.8 \times 10^3 \)
- \( 9,200 = 9.2 \times 10^3 \)
- \( 430 = 4.3 \times 10^2 \)
- \( 0.0000000085 = 8.5 \times 10^{-9} \)

### Step 2: Rewrite the expression in scientific notation.

\[
\frac{(6.2 \times 10^2)(1 \times 10^6)(4.8 \times 10^3)}{(9.2 \times 10^3)(4.3 \times 10^2)(8.5 \times 10^{-9})}
\]

### Step 3: Combine the terms.

For the numerator:
\[
(6.2 \times 4.8) \times (10^2 \times 10^6 \times 10^3) = 29.76 \times 10^{11}
\]

For the denominator:
\[
(9.2 \times 4.3 \times 8.5) \times (10^3 \times 10^2 \times 10^{-9}) = 336.34 \times 10^{-4}
\]

### Step 4: Perform the division of coefficients.

\[
\frac{29.76}{336.34} \approx 0.0885
\]

And for the exponents of 10:
\[
\frac{10^{11}}{10^{-4}} = 10^{15}
\]

So the result is approximately:
\[
0.0885 \times 10^{15}
\]

### Step 5: Adjust to scientific notation.

To express this in standard scientific notation, move the decimal point:
\[
8.85 \times 10^{13}
\]

Thus, the final answer is:
\[
8.85 \times 10^{13}
\]

---

Do you have any questions about the steps? Would you like further details on any part of the process?

Here are 5 related questions to consider:

1. What are the rules for multiplying and dividing numbers in scientific notation?
2. How can scientific notation simplify large or small number calculations?
3. How do you adjust decimal places in scientific notation?
4. What are some practical uses of scientific notation in real-world problems?
5. Can you explain how to convert between standard and scientific notation?

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

Use scientific notation to perform the following operation: (620)(1,000,000)(4,800) / (9,200)(430)(0.0000000085).

Solve the operation (620)(1,000,000)(4,800) / (9,200)(430)(0.0000000085) using scientific notation. Learn step-by-step how to convert each number into scientific form and apply the laws of exponents. Ideal for Grades 9-12.

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