\[
\left( \dfrac{1}{5} \right)^2 = \dfrac{1^2}{5^2} = \dfrac{1}{25}
\]

So, \(\left( \dfrac{1}{5} \right)^2 = \dfrac{1}{25}\).

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

Here are 5 related questions for further practice:
1. \(\left(\dfrac{2}{3}\right)^2 = ?\)
2. \(\left(\dfrac{4}{7}\right)^2 = ?\)
3. \(\left(\dfrac{1}{8}\right)^3 = ?\)
4. What is \(\left(\dfrac{1}{5}\right)^3\)?
5. Simplify \(\left(\dfrac{3}{4}\right)^2\).

**Tip:** When squaring a fraction, square both the numerator and the denominator.

Learn how to square the fraction (1/5) in this simple example. This problem demonstrates key concepts in exponents and fractions. Suitable for students in Grades 6-8, this detailed step-by-step solution walks through the exponentiation of fractions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation