https://file.aiquickdraw.com/mathbot/file/1729181251483ug30q62b.jpg

Let's calculate the expression given in the image:

\[
(2 \times 10^{-1}) \times (6 \times 10^{-3})
\]

1. First, multiply the numbers \(2\) and \(6\):

\[
2 \times 6 = 12
\]

2. Next, apply the multiplication of powers of 10 by adding the exponents:

\[
10^{-1} \times 10^{-3} = 10^{-1 + (-3)} = 10^{-4}
\]

3. Now, combine both results:

\[
12 \times 10^{-4}
\]

4. Finally, to express this in proper scientific notation, adjust the number \(12\) to \(1.2\) and adjust the exponent:

\[
12 \times 10^{-4} = 1.2 \times 10^{-3}
\]

Thus, the final answer in scientific notation is:

\[
1.2 \times 10^{-3}
\]

Would you like more details or have any questions?

Here are 5 related questions to further explore this topic:
1. How do you convert any number into scientific notation?
2. What is the general rule for multiplying numbers in scientific notation?
3. How do you add or subtract numbers in scientific notation?
4. How do you divide two numbers in scientific notation?
5. What are common mistakes to avoid when working with scientific notation?

**Tip:** When multiplying in scientific notation, remember to handle the coefficients and exponents separately to avoid confusion.

Learn how to multiply numbers in scientific notation with a step-by-step solution for (2x10^-1) X (6x10^-3). This problem covers key concepts like multiplication of powers and properties of exponents, ideal for students in Grades 8-10.

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