Bases in Powers
(KS3, Year 7)
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
Worksheet
This test is printable and sendable