The division of the functions is:

\[
\frac{x^4}{x}
\]

To simplify:

1. Subtract the exponents of \( x \) (since the base is the same):

\[
x^{4-1} = x^3
\]

Thus, the simplified expression is:

\[
x^3
\]

Would you like further details or have any questions?

### Related Questions:
1. What happens when you divide \( x^5 \) by \( x^2 \)?
2. How would you handle a division like \( \frac{x^3}{x^3} \)?
3. What happens if \( x = 0 \) in the expression \( \frac{x^4}{x} \)?
4. How do you divide polynomials with different degrees?
5. How does exponentiation apply when multiplying or dividing functions?

**Tip:** When dividing powers with the same base, subtract the exponents!

Learn how to simplify the division of exponential functions like x^4 / x using the laws of exponents. This step-by-step solution is suitable for students in Grades 7-9, covering key algebraic concepts such as exponent rules and expression simplification.

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