To simplify the expression \(\frac{8x^{10}}{2x^{7}}\), follow these steps:

1. **Simplify the coefficients**: \(\frac{8}{2} = 4\).
2. **Simplify the powers of \(x\)**: Use the quotient rule for exponents, which states \(\frac{x^a}{x^b} = x^{a-b}\).

So,
\[
\frac{8x^{10}}{2x^{7}} = 4x^{10-7} = 4x^3
\]

The simplified expression is \(4x^3\).

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

Here are 5 related questions you might find interesting:
1. What is the simplified form of \(\frac{15x^{8}}{5x^{3}}\)?
2. How would you simplify \(\frac{20x^{12}}{4x^{5}}\)?
3. Can you explain the difference between the quotient rule and the power rule for exponents?
4. What is the value of \(x\) if \(4x^3 = 64\)?
5. How would you approach simplifying \(\frac{9x^{15}}{3x^{10}}\)?

**Tip:** When simplifying expressions with exponents, remember to handle the coefficients and the variables separately.

Learn how to simplify the expression 8x^10 / 2x^7 with step-by-step instructions. This problem involves algebraic concepts such as exponents and fraction simplification, using the quotient rule for exponents. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation