To evaluate \(\frac{x^7}{x^4}\) using the **Quotient Rule**, follow these steps:

### Quotient Rule for Exponents:
\[
\frac{x^a}{x^b} = x^{a-b}
\]
where \(a\) and \(b\) are exponents.

In this case:
\[
\frac{x^7}{x^4} = x^{7-4} = x^3
\]

### Final Answer:
\[
\frac{x^7}{x^4} = x^3
\]

Would you like further details or have any questions? Here are five related problems to consider:

1. Simplify \(\frac{x^{10}}{x^6}\).
2. Evaluate \(\frac{x^5}{x^3}\).
3. Simplify \(\frac{x^9}{x^2}\).
4. Evaluate \(\frac{x^a}{x^b}\) when \(a = 8\) and \(b = 3\).
5. Simplify \(\frac{x^{12}}{x^8}\).

**Tip:** Remember that when dividing powers with the same base, subtract the exponents.

Learn how to simplify (x^7)/(x^4) using the quotient rule for exponents. This problem demonstrates how to subtract exponents when dividing like bases. Suitable for students in Grades 6-8.

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