Question

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

Explanation:

Step1: Evaluate \((-5)^2\)

The exponent \(2\) means multiplying the base \(-5\) by itself. So \((-5)^2 = (-5) \times (-5)\). When multiplying two negative numbers, the result is positive. So \((-5) \times (-5)=25\).

Step2: Evaluate \((-3)^3\)

The exponent \(3\) means multiplying the base \(-3\) by itself three times. So \((-3)^3 = (-3) \times (-3) \times (-3)\). First, \((-3) \times (-3) = 9\) (positive because of two negative numbers). Then, \(9 \times (-3)= -27\) (negative because of a positive and a negative number).

Answer:

For \((-5)^2\), the answer is \(25\); for \((-3)^3\), the answer is \(-27\).