Perform the indicated operation.
StartFraction 2 Over x cubed EndFraction
negative 5x

To perform the indicated operation of multiplying 

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

by 

\[
-5x,
\]

you follow these steps:

1. **Multiply the numerators together**:
   \[
   2 \times -5x = -10x
   \]

2. **Multiply the denominators together**:
   Since the second expression \( -5x \) is not a fraction, it can be considered as having a denominator of 1, so:
   \[
   x^3 \times 1 = x^3
   \]

3. **Combine the results** into a single fraction:
   \[
   \frac{-10x}{x^3}
   \]

4. **Simplify the expression**:
   - You can simplify by dividing \( x \) in the numerator by \( x^3 \) in the denominator:
     \[
     \frac{-10x}{x^3} = \frac{-10}{x^{2}}
     \]

So, the final simplified expression is:

\[
\frac{-10}{x^2}
\]

Would you like further details or have any questions?

---

Here are some related questions you might find interesting:

1. How do you simplify expressions with variables in the numerator and denominator?
2. What happens if \( x = 0 \) in the simplified expression?
3. How do you handle operations with negative exponents?
4. Can you explain the rules for multiplying fractions with variables?
5. What is the difference between simplifying and factoring in algebra?

**Tip:** When multiplying fractions, always multiply the numerators and denominators directly, and then simplify the result by canceling common factors if possible.

Learn how to multiply fractions 2 over x cubed by negative 5x. Follow a step-by-step solution to simplify the expression, including handling negative exponents and fractions multiplication. Suitable for high school students studying algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation