What is the value of the expression start fraction, left parenthesis, 75, plus, 5, squared, right parenthesis, divided by, 5, squared, end fraction52(75+52)​

The expression you've provided is \( \frac{(75 + 5^2)}{5^2} \).

Let's solve it step by step:

1. **Evaluate the exponent** \(5^2\):  
   \[
   5^2 = 5 \times 5 = 25
   \]

2. **Substitute** the value of \(5^2\) into the expression:  
   \[
   \frac{(75 + 25)}{25}
   \]

3. **Simplify** the expression inside the parentheses:  
   \[
   75 + 25 = 100
   \]

4. **Divide** the result by \(25\):  
   \[
   \frac{100}{25} = 4
   \]

So, the value of the expression \( \frac{(75 + 5^2)}{5^2} \) is **4**.

Would you like any more details or have any other questions?

Here are five related questions:
1. What is the value of \( \frac{(50 + 4^2)}{2^3} \)?
2. Simplify \( \frac{(100 - 6^2)}{4^2} \).
3. Calculate \( \frac{(20 + 3^3)}{3^2} \).
4. What is the result of \( \frac{(81 + 9^2)}{3^4} \)?
5. Simplify \( \frac{(60 + 2^5)}{2^4} \).

**Tip:** When working with fractions, simplify the numerator and denominator separately before performing the division.

Explore the step-by-step solution to calculate the value of the expression (75 + 5^2) / 5^2. Understand how to evaluate exponents and simplify fractional expressions. Suitable for Grades 7-9.

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