Question

evaluate.
$(-6)^3 = \square$
$(-8)^2 = \square$

Explanation:

Step1: Evaluate \((-6)^3\)

Recall that \(a^n\) means multiplying \(a\) by itself \(n\) times. For \((-6)^3\), we have \((-6)\times(-6)\times(-6)\). First, \((-6)\times(-6) = 36\), then \(36\times(-6)= - 216\). So \((-6)^3=-216\).

Step2: Evaluate \((-8)^2\)

For \((-8)^2\), it means \((-8)\times(-8)\). The product of two negative numbers is positive, so \((-8)\times(-8) = 64\). So \((-8)^2 = 64\).

Answer:

\((-6)^3=\boldsymbol{-216}\), \((-8)^2=\boldsymbol{64}\)