This document discusses the laws of exponents and properties of exponents. It defines exponents as telling how many times to use the number in multiplication when variables contain exponents with equal bases. The laws of exponents allow mathematical operations like addition, subtraction, and multiplication to be performed on terms with the same base but different exponents. Some key properties covered are that any single number or variable to the first power is equal to itself, and that anything to the zero power is equal to one. Basic examples are provided to illustrate applying the laws and properties of exponents.
3. Laws of Exponents
Exponent tells how many times to use the
number in multiplication. When we have
variables which contain exponents and have
equal bases, we can do certain mathematical
operation to them. Those operations are
called the Laws of Exponents
bx
b = base x = exponent
5. Laws of Exponents
m
n
n
m
n
m
n
m
m
m
m
mn
n
m
m
m
m
n
m
n
m
x
b
b
then
m
n
if
b
b
b
b
then
n
m
if
a
b
a
b
a
b
b
b
a
ab
b
b
b
1
,
.
5
,
.
5
.
4
.
3
.
2
.
1