Eduwhere's Concept: Indices & the Law of Indices

Indices are a useful way of more simply expressing large numbers. They also present us with many useful properties for manipulating them using what is called the Law of Indices.


Let’s consider an example over here. 

The expression 25 is defined as follows:

We call "2" the base and "5" the index.

Law of Indices

To manipulate expressions, it can be done using the Law of Indices. For all the expressions with the same base, for example, 24 and 22 , this law can be used to manipulate. However, we cannot use the Law of Indices to manipulate the expressions with a different base, for example 35 and 77 can’t be manipulated as their base differs (their bases are 3 and 7, respectively).

Let's take a look at the Six Rules of the Law of Indices

Rule 1:


Rule 2:



Rule 3:


Rule 4:


Rule 5:



Rule 6: