https://file.aiquickdraw.com/mathbot/file/1726548144741jow61dsn.jpg

The expression in the image you provided is:

\[
a^5 \cdot a^4 = a^?
\]

Here, we see a product of two powers of the same base \( a \). According to the **product of powers** property, when multiplying exponents with the same base, you add the exponents:

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

In this case:

\[
a^5 \cdot a^4 = a^{5+4} = a^9
\]

Thus, the result is:

\[
a^9
\]

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

Here are 5 related questions to deepen your understanding:

1. What is the product of \( a^2 \cdot a^7 \)?
2. How do you handle division with exponents, such as \( a^8 \div a^3 \)?
3. What is the result of \( (a^3)^4 \)?
4. How do you simplify expressions like \( a^5 \cdot b^5 \) where the bases are different?
5. How do you deal with negative exponents in multiplication, such as \( a^{-3} \cdot a^2 \)?

**Tip:** When multiplying powers with the same base, always remember to **add** the exponents.

What is the result of multiplying a^5 and a^4?

Learn how to multiply exponents with the same base using the product of powers rule. This problem shows how to simplify a^5 * a^4 by adding the exponents to get a^9. Suitable for students in Grades 6-8.

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