3³ ('3 to the power of 3') and 5² (5 'to the power' of 2) are example of numbers
in index form. 3³ = 3×3×3 2¹ = 2 2² = 2×2 2³ = 2×2×2 etc...
The
² and ³ are known as indices. Indices are useful (for example they allow us to
represent numbers in standard form) and have a
number of properties. These properties only hold, however, when the same number
is being raised to a certain power. For example, we cannot easily work out what
2³×5² is, whereas we can simplify 3²×3³ .
Copyright © Matthew Pinkney 2003
