https://file.aiquickdraw.com/mathbot/file/1726590073888h2sogbcp.jpg

The expression in the image is:

\[
\frac{1}{a^7}
\]

This can be rewritten using the properties of exponents as:

\[
a^{-7}
\]

Thus, \(\frac{1}{a^7} = a^{-7}\).

Would you like further details or have any questions on this?

Here are five related questions to explore further:
1. How do you simplify expressions with negative exponents?
2. What is the rule for multiplying terms with the same base but different exponents?
3. How would you solve \(\frac{1}{a^n}\) for any value of \(n\)?
4. What happens when you multiply two terms with negative exponents?
5. How do you handle fractional exponents?

**Tip**: A negative exponent represents the reciprocal of the base raised to the positive exponent. For example, \( a^{-n} = \frac{1}{a^n} \).

Learn how to simplify the expression 1/a^7 by applying the concept of negative exponents. This problem explores exponent rules and is suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation