The expression \(\frac{1}{2}x^3\) can be rewritten in the form \(ax^n\). Here, \(a\) represents the coefficient, and \(n\) is the exponent of \(x\). 

In this case:

- The coefficient \(a = \frac{1}{2}\).
- The exponent \(n = 3\).

So, the expression \(\frac{1}{2}x^3\) is already in the form of \(ax^n\) where \(a = \frac{1}{2}\) and \(n = 3\).

**Final Answer:** \(\frac{1}{2}x^3\) in the form \(ax^n\) is \(\frac{1}{2}x^3\).

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. How would you rewrite \(3x^4\) in terms of \(ax^n\)?
2. What is the derivative of \(\frac{1}{2}x^3\) with respect to \(x\)?
3. If \(ax^n\) represents a polynomial, what happens when \(a\) is negative?
4. How do you express \(\frac{3}{4}x^2\) in the form \(ax^n\)?
5. What does the graph of \(\frac{1}{2}x^3\) look like?

**Tip:** When rewriting expressions, always identify the coefficient and exponent to ensure it's in the desired format.

Learn how to rewrite the expression 1/2x^3 in the standard form of ax^n. This solution explains how to identify the coefficient (a) and the exponent (n) in polynomial expressions. Ideal for students in Grades 9-10.

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