https://file.aiquickdraw.com/mathbot/file/1734454094668t6x4sw6f.jpg

The example shown in the image can be summarized as follows:

\[
\frac{x^5}{x^2} = \frac{x \cdot x \cdot x \cdot x \cdot x}{x \cdot x} = x \cdot x \cdot x = x^3
\]

This demonstrates the **Quotient Rule** of exponents, which states:

\[
\frac{x^a}{x^b} = x^{a-b} \quad \text{(where \( a > b \))}.
\]

Here, the exponents \( 5 \) and \( 2 \) are subtracted: \( 5 - 2 = 3 \).

### Correct Answer:
**The quotient rule**

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### Related Questions:
1. How does the product rule of exponents work?
2. What is the difference between the power rule and the quotient rule?
3. Can the quotient rule be applied when \( a < b \)?
4. How do you simplify expressions involving multiple exponent rules?
5. What happens when you divide exponents with different bases?

### Tip:
Always ensure the bases are the same when applying the quotient rule of exponents.

Which law of exponents can be summarized by the example? \( \frac{x^5}{x^2} = x^3 \)

Learn how the quotient rule of exponents simplifies expressions like \( \frac{x^5}{x^2} \) to \( x^3 \). This rule is fundamental in algebra, where the exponents are subtracted when dividing powers with the same base. Suitable for Grades 7-9.

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