Question

evaluate.
$(-8)^2 = $
$-(5)^2 = $

Explanation:

Step1: Evaluate \((-8)^2\)

The exponentiation rule: \((a)^n\) means multiplying \(a\) by itself \(n\) times. For \((-8)^2\), we have \((-8)\times(-8)\). When multiplying two negative numbers, the result is positive. So \((-8)\times(-8) = 64\).

Step2: Evaluate \(-(5)^2\)

First, calculate \((5)^2\) which is \(5\times5 = 25\). Then apply the negative sign in front, so \(-(5)^2=-25\).

Answer:

\((-8)^2 = \boldsymbol{64}\)
\(-(5)^2 = \boldsymbol{-25}\)