Question

evaluate.
$(-2)^4 = \square$
$(6)^3 = \square$

Explanation:

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

The exponent \(4\) means multiplying \(-2\) 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 \(4 \times (-2) \times (-2)=4\times4 = 16\).

Step2: Evaluate \((6)^3\)

The exponent \(3\) means multiplying \(6\) by itself \(3\) times. So \((6)^3 = 6 \times 6 \times 6\). First, \(6\times6 = 36\), then \(36\times6 = 216\).

Answer:

For \((-2)^4\), the answer is \(16\). For \((6)^3\), the answer is \(216\).