Objective # 34 Laws of exponents Material: teacher notes

Objective # 34
Material:
Laws of exponents
teacher notes
Homework: worksheet
T
Multiplying numbers with the same base:
example:
Carry the base and add the exponents.
a)
b)
c)
d)
T
Dividing numbers with the same base:
example:
Carry the base and subtract the exponents.
a)
b)
c)
d)
e)
can’t do anything because the powers have different bases
f)
T
A base with an exponent and then raised to a second exponent:
example:
Carry the base and multiply the
exponents.
a)
b)
But be careful
c)
d)
e)
NOTE: it is m
NOTE: it is division between the x and y
f)
g)
NOTE: this is not the power of a power
because there is addition(or subtraction) between x and y
=
h)
T
A base raised to a zero exponent:
example:
The base and the exponent is equal to 1.
a)
b)
c)
d)
e)
f)
T
A base raised to a negative exponent:
take the reciprocal of the base and change the exponent
to positive.
example:
a)
b)
c)
d)
e)
f)
g)
Laws of Exponents
Worksheet
Perform the following operations:
A:
B:
1.
2.
3.
4.
5.
6.
1.
2.
3.
4.
5.
C:
D.
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
7.
8.