https://file.aiquickdraw.com/mathbot/file/1728930769386s2bzzwe6.jpg

The expression shown in the image is \( 5^3 \cdot 5^2 \).

To simplify this, you can use the rule of exponents: 
\[
a^m \cdot a^n = a^{m+n}
\]
In this case, \( a = 5 \), \( m = 3 \), and \( n = 2 \). Therefore:

\[
5^3 \cdot 5^2 = 5^{3+2} = 5^5
\]

Now calculate \( 5^5 \):

\[
5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125
\]

Thus, \( 5^3 \cdot 5^2 = 3125 \).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How would you simplify \( 2^4 \cdot 2^3 \)?
2. What is the general rule for multiplying powers with the same base?
3. Can you apply this exponent rule to division as well? How?
4. What is \( 6^3 \cdot 6^2 \)?
5. How would you simplify \( 7^4 \cdot 7^3 \)?

**Tip:** When multiplying numbers with the same base, remember that you simply add the exponents.

Learn how to simplify the expression 5^3 · 5^2 using exponent rules. This problem involves multiplying powers with the same base, adding exponents, and calculating the result, suitable for students in Grades 6-8.

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