Math Quiz Answer: -6² + (-6)² = ? | Step-by-Step Solution

Solve the math quiz question -6² + (-6)² with our step-by-step solution. Get the final answer and understand the concept behind it.

Math Quiz Answer:

Problem

-6² + (-6)² = ?

Math Quiz Answer: -6² + (-6)² = ? | Step-by-Step Solution

Solution

Let's break it down step by step:

1. Calculate the exponentiation:

-6² = -(6 × 6) = -36

(-6)² = (-6) × (-6) = 36

2. Add the results:

-36 + 36 = 0

Final Answer

The final answer is: 0

Math Quiz Answer Explained: The key to solving this problem is understanding the order of operations (PEMDAS/BODMAS). In the expression -6², the exponentiation is evaluated first, and then the negative sign is applied. In contrast, (-6)² means the negative sign is part of what's being squared. This difference in interpretation leads to the two terms canceling each other out, resulting in 0.

Math Quiz, -6² + (-6)², Step-by-Step Solution, Final Answer, Order of Ope

rations, PEMDAS, BODMAS.