To simplify the expression \( \frac{28a^7}{4a^2} \):

1. **Simplify the coefficients**: 
   \[
   \frac{28}{4} = 7
   \]

2. **Simplify the powers of \(a\)** using the quotient rule of exponents: 
   \[
   \frac{a^7}{a^2} = a^{7-2} = a^5
   \]

Thus, the simplified expression is:
\[
7a^5
\]

Would you like a more detailed explanation or have any questions about this? Here are some related questions:

1. How does the quotient rule of exponents work?
2. What are some other examples of simplifying expressions with variables?
3. Can you explain how to factor expressions like these?
4. What happens if the powers of \(a\) are negative or fractional?
5. How can you simplify more complex rational expressions?

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

This problem demonstrates how to simplify the expression 28a⁷ / 4a² using algebraic techniques. It covers key concepts such as the quotient rule for exponents and simplifying coefficients, making it ideal for students in Grades 8-10. The final simplified expression is 7a⁵.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation