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To evaluate the expression \(\left(\frac{7}{8}\right)^2\) and write the answer as a fraction in its simplest form:

### Step-by-Step Solution:
1. **Square the numerator**: 
   \[
   7^2 = 49
   \]

2. **Square the denominator**: 
   \[
   8^2 = 64
   \]

3. **Write the result as a fraction**: 
   \[
   \frac{49}{64}
   \]

Since 49 and 64 have no common factors other than 1, the fraction \(\frac{49}{64}\) is already in its simplest form.

### Final Answer:
\[
\boxed{\frac{49}{64}}
\]

Let me know if you'd like further details or have any questions!

Here are 5 related questions to expand on this concept:
1. What is the square of \(\frac{3}{5}\)?
2. How would you simplify the square of \(\frac{4}{7}\)?
3. What is the result of squaring \(\frac{9}{10}\)?
4. How do you simplify the square of \(\frac{5}{6}\)?
5. How do you find the square of a mixed number like \(1 \frac{3}{4}\)?

**Tip:** When squaring a fraction, square both the numerator and the denominator separately, then simplify the result if possible.

Learn how to evaluate the square of the fraction 7/8 using a detailed step-by-step solution. This problem involves key mathematical concepts like exponents and fractions, suitable for students in Grades 6-8.

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