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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.

Learn how to simplify the expression \(\frac{x^3}{x}\) by applying the exponent rule for division. This step-by-step guide is designed for students in Grades 6-8, covering fundamental algebraic concepts.

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