https://file.aiquickdraw.com/mathbot/file/1725469655451cuhn6flk.jpg

The equation shown in the image is:

\[
a^m \times a^n = a^{m+n}
\]

This equation demonstrates the **Product of Powers Property**. This property states that when you multiply two expressions with the same base, you add their exponents.

Would you like more details or have any questions?

Here are some related questions to explore:

1. What is the Power of a Power Property?
2. How does the Power of a Product Property differ from the Product of Powers Property?
3. Can you provide an example using the Product of Powers Property with specific values for \(a\), \(m\), and \(n\)?
4. How would the equation change if the operation was division instead of multiplication?
5. What other properties are commonly used in exponential expressions?

**Tip:** Always pay attention to the base when applying exponent rules; the rules only apply when the bases are the same.

Select the name of the property that is demonstrated by the equation: a^m * a^n = a^(m+n).

Learn about the Product of Powers Property, which demonstrates how to multiply two expressions with the same base by adding their exponents. This concept is crucial in understanding properties of exponents, suitable for students in Grades 6-8.

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