The given expression is:

$\frac{x^3}{x}$

To simplify, we use the rule of exponents which states that when dividing powers with the same base, we subtract the exponents:

$\frac{x^3}{x} = x^{3-1} = x^2$

Thus, the simplified expression is:

$x^2$

Would you like more details on the rules for simplifying exponents or have any other questions?

Here are five related questions:

1. How do you simplify $\frac{x^5}{x^2}$?
2. What is the simplified form of $\frac{x^7}{x^3}$?
3. How would you simplify $\frac{x^4 \cdot x^2}{x}$?
4. How do you handle the simplification of $\frac{y^3 \cdot x^5}{x^2}$?
5. Can you simplify $\frac{x^3}{x^3}$?

Tip: When dividing powers with the same base, always remember to subtract the exponent of the denominator from the exponent of the numerator.