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.