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Math Lesson 1.3.5 - Power of a number

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Welcome to our Math lesson on Power of a number, this is the fifth lesson of our suite of math lessons covering the topic of Operations with Numbers and Properties of Operations, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Power of a number

If we have to multiply the same factor a number of times by itself, we use a shorter notation known as power to represent this recurring multiplication by the same number. In other words, the power of a number says how many times to use that number in a multiplication.

For example, instead of writing 5 × 5 × 5 we can write 53 which reads "5 at power 3".

In general,

Math Tutorials: Operations with Numbers and Properties of Operations Example

The recurring factor is called the base, the number that shows how many times this factor appears in a recurring multiplication is called the exponent and the result of this operation is called the power. Therefore, the popular terminology used to express this operation is not very correct. Thus, in the expression 53 = 125, we should have said "the power of 5 with exponent 3 is 125" instead of "5 raised to the power of 3 gives 125". However, we are now familiar with the second way of expression and nobody complains about that.

Example 9

Calculate:

a. 27 =
b. 35 =

Solution 9

  1. We have
    27 = 2 × 2 × 2 × 2 × 2 × 2 × 2
    = 4 × 2 × 2 × 2 × 2 × 2
    = 8 × 2 × 2 × 2 × 2
    = 16 × 2 × 2 × 2
    = 32 × 2 × 2
    = 64 × 2
    = 128
  2. We have
    35 = 3 × 3 × 3 × 3 × 3
    = 9 × 3 × 3 × 3
    = 27 × 3 × 3
    = 81 × 3
    = 243

More Operations with Numbers and Properties of Operations Lessons and Learning Resources

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
1.3Operations with Numbers and Properties of Operations
Lesson IDMath Lesson TitleLessonVideo
Lesson
1.3.1Addition
1.3.2Subtraction
1.3.3Multiplication
1.3.4Division
1.3.5Power of a number

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  7. Continuing learning arithmetic - read our next math tutorial: Order of Operations and PEMDAS Rule

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