https://file.aiquickdraw.com/mathbot/file/1726552426493squ746eg.jpg

The image shows the expression \( a^{-4} \), which is being rewritten as a fraction.

To simplify this:

- The negative exponent rule states that \( a^{-n} = \frac{1}{a^n} \). 
- Applying this to \( a^{-4} \), we get:

\[
a^{-4} = \frac{1}{a^4}
\]

This is the result shown in the image.

Would you like further explanation on exponent rules or related topics? Here are 5 related questions you might find interesting:

1. How do you simplify expressions with multiple negative exponents?
2. What happens if the base \(a\) is a fraction or a negative number?
3. How do you simplify an expression like \( (a^{-4})(a^2) \)?
4. Can you explain the product of powers rule?
5. How do you work with fractional exponents?

**Tip:** Negative exponents represent reciprocals, which is why expressions like \(a^{-n}\) become fractions with positive exponents!

Learn how to simplify the expression a^(-4) by applying the negative exponent rule. This problem covers key algebraic concepts, including exponent rules and the negative exponent theorem. 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