C
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28
INDICES (Chapter 2)
These examples can be generalised to the following index laws:
If the bases a and b are both positive, and the indices m and n are integers, then:
am xan = am+n
am
an
= am-n
(am)n = amn
(ab)n = anfn
a
n
an
(7) ª =
bn
aº = 1, a 0
1
a-n =
an
=
|
To multiply numbers with the same base, keep the base and add the
indices.
To divide numbers with the same base, keep the base and subtract
the indices.
When raising a power to a power, keep the base and multiply the
indices.
The power of a product is the product of the powers.
The power of a quotient is the quotient of the powers.
Any non-zero number raised to the power of zero is 1.
1
and in particular a-1
Example &
Hio
