simplify and evaluate. the fraction 3n^4 then in the bottom part n^3

We are tasked with simplifying the fraction \(\frac{3n^4}{n^3}\).

### Step-by-Step Simplification:

1. **Identify the common powers of \(n\):**
   \[
   \frac{3n^4}{n^3}
   \]

2. **Simplify the powers of \(n\):**
   \[
   n^4 \div n^3 = n^{4-3} = n^1 = n
   \]

3. **Final expression:**
   \[
   \frac{3n^4}{n^3} = 3n
   \]

### Result:
The simplified expression is \(3n\).

If you want to evaluate the expression for a specific value of \(n\), you can substitute that value into \(3n\).

Would you like to evaluate it for a particular value of \(n\)?

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Here are 5 related questions:
1. How do you simplify fractions with variables?
2. What happens if the power in the denominator is larger than in the numerator?
3. Can you simplify expressions with multiple variables similarly?
4. How does the distributive property work with powers and fractions?
5. How would you evaluate \(3n\) for \(n = 2\)?

**Tip:** Always subtract exponents when dividing powers of the same base.

Learn how to simplify the fraction 3n^4 / n^3 by applying the laws of exponents. This problem demonstrates how to subtract exponents in fractions and leads to the simplified expression 3n. Suitable for students in Grades 6-8.

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