https://file.aiquickdraw.com/mathbot/file/1725500573437h1p2a834.jpg

The expression in the image is:

\[
(5 \times 10^6) \times (8 \times 10^{-3})
\]

To solve this, we can use the properties of exponents and multiplication.

1. **Multiply the coefficients (5 and 8):**

\[
5 \times 8 = 40
\]

2. **Multiply the powers of 10:**

\[
10^6 \times 10^{-3} = 10^{6 + (-3)} = 10^3
\]

Now, combine the results:

\[
40 \times 10^3
\]

This can also be written as:

\[
4.0 \times 10^4
\]

So, the final answer is:

\[
4.0 \times 10^4
\]

Would you like more details, or do you have any other questions?

Here are 5 related questions for further practice:

1. How would you solve \((2 \times 10^4) \times (3 \times 10^{-2})\)?
2. What is the result of dividing \((7 \times 10^5)\) by \((2 \times 10^{-1})\)?
3. How do you add two numbers in scientific notation, like \((5 \times 10^2) + (3 \times 10^3)\)?
4. What is the general rule for multiplying powers of ten?
5. How would you express \(0.004\) in scientific notation?

**Tip:** When multiplying numbers in scientific notation, always handle the coefficients and powers of 10 separately, then combine them at the end.

Learn how to solve the multiplication of two numbers in scientific notation: (5 × 10^6) × (8 × 10^(-3)). This problem demonstrates how to multiply coefficients and apply the laws of exponents, suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation