This is a summary of the rules of indices
since
is not defined
(1) and
(2)
(3) and
(4)
When evaluating an expression like (4), find the root first because the
may turn out to be a very large number.
(5) and
(6)
(7) and
(8)
The rules may be used as in the following examples:
Express 81 as a power of
Simplify
We apply in succession rules (5) and (6) above:
Arrange in order:
In order the list is