Math Definitions - Letter P

Power Set

Definition of Power Set

Definition of Power Set

A power set is the set of all subsets of a set.

For example, the subsets of the set \(S = \{1,2\}\) are:

  • The empty set \(\{\;\}\)
  • The one element sets \(\{1\}\) and \(\{2\}\)
  • And the whole set \(\{1,2\}\)
If we put them all together, we get the power set:
\( P(S) = \{ \{\;\},\{1\},\{2\}, \{1,2\}\} \)


The aim of this dictionary is to provide definitions to common mathematical terms. Students learn a new math skill every week at school, sometimes just before they start a new skill, if they want to look at what a specific term means, this is where this dictionary will become handy and a go-to guide for a student.


Year 1 to Year 12 students

Learning Objectives

Learn common math terms starting with letter P

Author: Subject Coach
Added on: 6th Feb 2018

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