https://file.aiquickdraw.com/mathbot/file/1726810088630e3m4fjva.jpg

The expression provided in the image is:

\[
\frac{g^8}{g^{11}}
\]

To simplify this expression, use the rule for dividing exponents with the same base, which states:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

Applying this rule:

\[
\frac{g^8}{g^{11}} = g^{8-11} = g^{-3}
\]

So, the simplified expression is:

\[
g^{-3}
\]

If you'd like to express this in positive exponent form, you can rewrite it as:

\[
\frac{1}{g^3}
\]

Would you like further details or clarification?

Here are 5 related questions:
1. What is the general rule for multiplying powers with the same base?
2. How do you simplify an expression with a negative exponent?
3. What happens if the exponents in the numerator and denominator are equal?
4. Can you apply this rule to variables with coefficients?
5. How would the solution change if the base was different?

**Tip:** Negative exponents indicate reciprocal operations, so \( g^{-3} \) is equivalent to \( \frac{1}{g^3} \).

Learn how to simplify the expression g^8 / g^11 by applying the exponent subtraction rule. This step-by-step solution covers key concepts of 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