Related Pages
Bases in Powers
(KS3, Year 7)
The Lesson
The base of a power is the number (or other quantity) that is multiplied by itself.Dictionary Definition
The MerriamWebster dictionary defines a base as "a number (such as 5 in 5^{6.44} or 5^{7}) that is raised to a power."Understanding Bases in Powers
A power is the product of multiplying a number by itself. A power consists of a base and an exponent. For example, 3^{2} is a power. 3 is the base and 2 is the exponent.This means that 3 (the base) is multiplied by itself 2 (the exponent) times.
Real Examples of Bases in Powers
Some real examples of bases in powers are given below.
The power below has a base of 4:

The power below has a base of 2:

The base can also be a letter. The power below has a base of a:
Powers of 10
A power of 10 has a base of 10 and an exponent:
10^{1} = 10
10^{2} = 10 × 10 = 100
10^{3} = 10 × 10 × 10 = 1,000
10^{3} = 10 × 10 × 10 × 10 = 10,000
Notice that the exponent tells you how many 0s there are after the 1.
Powers of 10 are useful for scientific notation.
 Do you disagree with something on this page?
 Did you spot a typo?