Radicals and Rational Exponents · Exercise 4

Investigation: There are 32 student-learning outcomes (SLO’s) in a typical College Algebra course. These are topics a student needs to master to show proficiency in College Algebra. Let’s begin by looking at just a few of these skills. Let’s assign the variables, A, B, C, and D to the following topics. We will name the set containing each of these 4 topics, Q.

Using roster notation Q = {A, B, C, D}.

Now use the formula you found in #3 to find the number of subsets possible if we include all 32 student-learning outcomes.
Hint: In evaluating exponential terms, the function values increase very rapidly. To display very large (or very small) values, a calculator will use scientific notation. For example: 2.56 E6 is telling you to move the decimal point 6 places to the right and to insert zeros where you have missing values.
For example: 2.56 E6 = 2,560,000 or 2 million, five hundred, sixty thousand.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §1.3 Radicals and Rational Exponents · Exercise 4