Question

evaluate.
$(-2)^3 = \square$
$(-5)^2 = \square$

Explanation:

Step1: Evaluate \((-2)^3\)

The exponent \(3\) means we multiply \(-2\) by itself three times. So, \((-2)^3 = (-2) \times (-2) \times (-2)\). First, \((-2) \times (-2) = 4\), then \(4 \times (-2) = -8\).

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

The exponent \(2\) means we multiply \(-5\) by itself twice. So, \((-5)^2 = (-5) \times (-5)\). Multiplying two negative numbers gives a positive result, so \((-5) \times (-5) = 25\).

Answer:

\((-2)^3 = -8\)
\((-5)^2 = 25\)