Yes, you're correct! 

The reciprocal of \( \left( \frac{3}{4} \right)^2 \) is \( \left( \frac{4}{3} \right)^2 \).

To explain:
1. \( \left( \frac{3}{4} \right)^2 = \frac{3^2}{4^2} = \frac{9}{16} \)
2. The reciprocal of \( \frac{9}{16} \) is \( \frac{16}{9} \), which is equal to \( \left( \frac{4}{3} \right)^2 \).

Would you like a more detailed explanation or have any further questions?

Here are 5 related questions to explore:
1. What is the reciprocal of \( \left( \frac{5}{6} \right)^3 \)?
2. How do you find the reciprocal of a fraction in general?
3. What happens when you take the reciprocal of a whole number?
4. Can you explain the difference between a reciprocal and an inverse?
5. What is the reciprocal of \( \frac{7}{8} \times \frac{3}{4} \)?

**Tip:** When taking the reciprocal of a fraction, you simply flip the numerator and the denominator!

Explore how to find the reciprocal of (3/4)^2 and understand the key concepts of fractions, exponents, and reciprocals. This explanation is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation