https://file.aiquickdraw.com/mathbot/file/1725570343438y1i66me8.jpg

The expression in the image is:

\[
\frac{12p^5 a}{10p^2 a}
\]

To simplify this expression, let's break it down step by step:

1. **Simplifying the coefficients**:
   \[
   \frac{12}{10} = \frac{6}{5}
   \]
   
2. **Simplifying the variables**:
   - For \(p^5\) and \(p^2\), we apply the rule of exponents: \(\frac{p^5}{p^2} = p^{5-2} = p^3\).
   - The \(a\) terms cancel each other out since \(\frac{a}{a} = 1\).

Now, the simplified expression is:

\[
\frac{6}{5} p^3
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How do you simplify expressions involving exponents in different scenarios?
2. What are the rules for simplifying rational expressions?
3. How does multiplying or dividing powers with the same base work?
4. How can you identify and cancel common factors in algebraic fractions?
5. How would this process change if the terms in the denominator were different variables?

**Tip**: Always start by simplifying coefficients and then move on to variables, applying the rules of exponents.

Simplify the expression \(\frac{12p^5 a}{10p^2 a}\)

Learn how to simplify the algebraic expression \(\frac{12p^5 a}{10p^2 a}\) by breaking down the coefficients and applying the rules of exponents. This guide walks through a step-by-step process, covering key algebraic concepts 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