Question

1. if we have six decisions to make and 2 choices for each decision, how can we represent the number of potential outcomes?

$2^6$
$6^6$
$2^2$
$6^2$

Explanation:

Step1: Understand the problem

We have 6 decisions, each with 2 choices. For each decision, the number of choices multiplies. So for 6 decisions, it's like 2 (choices) multiplied 6 times.

Step2: Recall the exponent rule

When a number \( a \) is multiplied by itself \( n \) times, it's written as \( a^n \). Here, \( a = 2 \) and \( n = 6 \), so the number of outcomes is \( 2^6 \).

Answer:

\( 2^6 \) (the first option)