At first glance, the expression looks complicated:$$\frac{-5^2 + 75}{5}$$5−52+75​

The key is remembering the order of operations.

---

Step 1: Evaluate the exponent first

Notice that the negative sign is not inside parentheses.

So:$$-5^2 = -(5^2)$$−52=−(52)

First calculate:$$5^2 = 25$$52=25

Then apply the negative sign:$$-25$$−25

So the expression becomes:$$\frac{-25 + 75}{5}$$5−25+75​

---

Step 2: Simplify the numerator

$$-25 + 75 = 50$$−25+75=50

Now we have:$$\frac{50}{5}$$550​

---

Step 3: Divide

$$50 \div 5 = 10$$50÷5=10

---

✅ Final Answer: 10

Why many people get it wrong

A common mistake is treating −5² as (−5)².

But:

• −5² = −25
• (−5)² = 25

The parentheses completely change the result.