Laws of Exponents
Laws of Exponents
The laws of exponents show the power of elementary algebra and lay the groundwork for logarithms. The laws are:
m
a
n
a
m+n
a
m
a
n
a
m-n
a
n
()
m
a
mn
a
m
(ab)
m
a
n
b
m
a
b
m
a
m
b
0
a
-1
a
1
a
-m
a
1
m
a
1
m
a
m
a
This Demonstration does not prove the first five of these laws; for a proof, you need to use mathematical induction.