Question

evaluate.

$(-2)^4 = \square$

$(5)^3 = \square$

Explanation:

Step1: Evaluate \((-2)^4\)

The exponent 4 means we multiply \(-2\) by itself 4 times. So \((-2)^4 = (-2) \times (-2) \times (-2) \times (-2)\). Multiplying two negative numbers gives a positive number, so \((-2) \times (-2) = 4\), and then \(4 \times (-2) \times (-2) = 4 \times 4 = 16\).

Step2: Evaluate \(5^3\)

The exponent 3 means we multiply 5 by itself 3 times. So \(5^3 = 5 \times 5 \times 5\). First, \(5 \times 5 = 25\), then \(25 \times 5 = 125\).

Answer:

For \((-2)^4\), the answer is \(16\).
For \(5^3\), the answer is \(125\).