https://file.aiquickdraw.com/mathbot/file/1725404119548xpi62qbj.jpg

To simplify the expression \(\frac{x^6}{x^8}\) and rewrite it in the form \(x^n\):

We can use the rule of exponents which states:

\[
\frac{x^a}{x^b} = x^{a-b}
\]

Here, \(a = 6\) and \(b = 8\). Therefore:

\[
\frac{x^6}{x^8} = x^{6-8} = x^{-2}
\]

So the simplified expression is \(x^{-2}\).

Would you like more details or have any questions?

Here are five related questions to explore further:

1. What is the simplified form of \(\frac{x^3}{x^7}\)?
2. How would you simplify \(\frac{x^{10}}{x^4}\)?
3. What is the rule for multiplying exponents, such as \(x^2 \times x^3\)?
4. Can you simplify \(\frac{y^5 \cdot x^3}{y^2 \cdot x^4}\)?
5. What does a negative exponent signify in terms of fractions?

**Tip:** Remember that a negative exponent means you can express it as a reciprocal. For example, \(x^{-2} = \frac{1}{x^2}\).

Simplify the expression \(\frac{x^6}{x^8}\) and rewrite it in the form \(x^n\).

Learn how to simplify the algebraic expression \(\frac{x^6}{x^8}\) and rewrite it in the form \(x^n\). This problem involves understanding exponent rules and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation