https://file.aiquickdraw.com/mathbot/file/1728661824768cb389ekp.jpg

The expression in the image is:

\[
(7 \times 10^2) \times (3 \times 10^1)
\]

We will solve this step-by-step and express the result in scientific notation.

### Step 1: Multiply the coefficients
First, multiply the numbers \(7\) and \(3\):
\[
7 \times 3 = 21
\]

### Step 2: Add the exponents
Next, add the exponents of \(10\):
\[
10^2 \times 10^1 = 10^{2+1} = 10^3
\]

### Step 3: Combine the results
Now, combine the result from Step 1 and Step 2:
\[
21 \times 10^3
\]

Thus, the final answer in scientific notation is:
\[
2.1 \times 10^4
\]

Would you like further details on scientific notation, or do you have any questions?

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Here are 5 related questions to extend your understanding:
1. How would you express \( (5 \times 10^3) \times (2 \times 10^2) \) in scientific notation?
2. How do you handle division in scientific notation, such as \( (8 \times 10^4) \div (4 \times 10^2) \)?
3. How can you convert a large number like 5,600,000 into scientific notation?
4. What is the significance of the exponent when numbers are written in scientific notation?
5. How would you express a very small number, like 0.00034, in scientific notation?

**Tip:** When multiplying numbers in scientific notation, remember to add the exponents of 10, and then adjust the result to proper scientific notation.

Learn how to multiply numbers in scientific notation with this example: (7 x 10^2) x (3 x 10^1). This step-by-step solution covers the basics of scientific notation, including multiplying coefficients and adding exponents. Ideal for students in Grades 7-9.

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