Introduction to index notation

 Unit Home Topic Home Chapter Home 0 Pictures 0 Animations 0 Videos Chapter Summary 0 Activities 0 Exams

We know that 43 = 4 ´ 4 ´ 4 = 64. The 3 above the 4 tells us to multiply three 4s.

Similarly, 52 = 5 ´ 5 = 25. The 2 tells us to multiply two 5s.

This short-hand way of writing a number that is multiplied several times is called index notation. The special terms associated with index notation are demonstrated below.

Example 1
What is the base and the index of the number 64?

Base = 6

Index = 4

Example 2

Write 10 ´ 10 ´ 10 ´ 10 ´ 10 in index notation

10 ´ 10 ´ 10 ´ 10 ´ 10 = 105          (we are multiplying five 10s.)

Example 3

Write 36 in expanded form.

36 = 3 ´ 3 ´ 3 ´ 3 ´ 3 ´ 3     (six 3s)

Example 4

Write 5 ´ 5 ´ 5 ´ 5 ´ 3 ´ 3 ´ 3 in index notation.

5 ´ 5 ´ 5 ´ 5 ´ 3 ´ 3 ´ 3 = 54 ´ 33

In the Pop Quiz questions, 3^6 means 36. "^" means "to the power of".

Chapters:

Pop Quiz

The more you learn - the more you earn!
Earn up to points by getting 100% in this pop quiz!

Question 1/5

1. With the number 9 ^ 10, the power is

 90 19 10 9

ToolBox

No thanks. Remind me again later.