https://file.aiquickdraw.com/mathbot/file/1726093422401eaqla4dc.jpg

Let's simplify the expression from the image step by step:

The given expression is:

\[
\frac{\frac{x^5}{3}}{\frac{9}{x^2}}
\]

### Step 1: Invert and multiply the denominator.
When dividing by a fraction, we multiply by its reciprocal:

\[
\frac{x^5}{3} \times \frac{x^2}{9}
\]

### Step 2: Multiply the numerators and denominators.
Now, multiply the numerators and the denominators separately:

\[
\frac{x^5 \cdot x^2}{3 \cdot 9} = \frac{x^{5+2}}{27} = \frac{x^7}{27}
\]

### Final Answer:
The simplified expression is:

\[
\frac{x^7}{27}
\]

Would you like any further details or clarifications?

---

Here are 5 related questions you might find interesting:
1. How do you handle more complex fractions in algebra?
2. What are the properties of exponents used in this problem?
3. Can you simplify expressions with variables in both the numerator and denominator?
4. How do you multiply and divide algebraic fractions?
5. What happens when exponents are negative in such expressions?

**Tip:** Always remember to apply the rule of adding exponents when multiplying powers of the same base.

Simplifiez l'expression suivante : (x^5 / 3) / (9 / x^2)

Learn how to simplify the algebraic expression (x^5 / 3) / (9 / x^2). This problem explores the rules of exponents and fraction division, providing a step-by-step breakdown. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation