https://file.aiquickdraw.com/mathbot/file/1726855074551m5prub30.jpg

We are asked to simplify the expression:

\[
\frac{-30x^3y^3}{5xy^2}
\]

### Step-by-Step Solution:

1. **Divide the coefficients**:
   \[
   \frac{-30}{5} = -6
   \]

2. **Simplify the powers of \(x\)**:
   \[
   \frac{x^3}{x} = x^{3-1} = x^2
   \]

3. **Simplify the powers of \(y\)**:
   \[
   \frac{y^3}{y^2} = y^{3-2} = y
   \]

### Final result:
\[
-6x^2y
\]

Thus, the correct answer is **option c)** \(-6x^2y\).

---

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you simplify expressions with higher powers?
2. What are the rules for dividing terms with the same base?
3. Can this method apply to variables with fractional exponents?
4. How do you handle negative exponents in similar problems?
5. How can this concept be applied to real-world problems?

**Tip**: When dividing terms with the same base, remember to subtract the exponents!

Simplify the expression \( \frac{-30x^3y^3}{5xy^2} \) and select the correct answer from the options provided.

Learn how to simplify the algebraic expression \( \frac{-30x^3y^3}{5xy^2} \) by dividing coefficients and subtracting exponents. Detailed explanation 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