To simplify the expression \(\frac{54v^4}{6v}\), follow these steps:

1. **Divide the coefficients**: \(54 \div 6 = 9\).
2. **Subtract the exponents of \(v\)**: When dividing terms with the same base, subtract the exponents: \(v^4 \div v^1 = v^{4-1} = v^3\).

Putting these together, the simplified expression is:

\[
\frac{54v^4}{6v} = 9v^3
\]

Would you like more details, or do you have any questions?

### Related Questions:
1. How do you simplify expressions involving higher powers of variables?
2. What is the general rule for dividing exponents with the same base?
3. How do you handle expressions with multiple variables?
4. What happens when the exponent of the variable in the denominator is larger?
5. How can you simplify a fraction with variables and coefficients?

**Tip**: Remember, when dividing powers with the same base, always subtract the exponents!

Learn how to simplify the algebraic expression 54v^4 / 6v with a detailed, step-by-step solution. This example covers key algebraic concepts such as division of exponents and coefficient simplification. Suitable for students in Grades 8-10.

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