Definition of Indices
Indices
or powers, both names mean the same thing. It is a useful way of more simply
expressing large numbers. They also present us with many useful properties for
manipulating them using ‘Law of Indices’.
Example
Law of Indices
To
manipulate expressions, we can consider using the Law of Indices. These laws
only apply to expressions with the same base.
Rules of the Law of Indices
They
are Six rules :
Rule 1
Any
number, except 0, whose index is 0 is always equal
to 1, regardless of the value of the base.
Rule 2
Rule 3
To
multiply expressions with the same base, copy the base and add
the indices.
Rule 4
To
divide expressions with the same base, copy the base and subtract
the indices.
Rule 5
To
raise an expression to the nth index, copy the base and multiply
the indices.
Rule 6
Notation of Indices
Here are the examples with solutions
:
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
References :
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