Bases, Exponents, and Powers

1
Bases, Exponents, and Powers
An exponent tells how many times a number, the
base, is used as a factor. A power consists of a
base and an exponent.
4 squared equals 16
Exponent
4 to the 2nd power equals 16
Base
Value
Power
Exponent
4x cubed equals 64x3
Base
Value

4x to the 3rd power equals 64x3
Power
2
Properties of Exponents
Property
Example
We should probably look at some of these
properties in action.
3
Simplifying Powers
Hey this is pretty easy.
That was easy
4
Simplifying Exponential Expressions
Asi De Facil
So to make a negative exponent positive you just
switch positions.
5
Homework
Page 421 10 36 Even Numbers
6
Simplifying Positive Exponents
That was easy
7
Simplifying Negative Exponents
Asi De Facil
Thats a little more difficult but I can still do
it.
8
Simplifying a PowerRaised to a Power
That was easy
9
Homework
Page 436 - 437 10 32 Even s
10
Radical vs Exponential Form
All radicals can be written in exponential form.
Exponent
4
Root
3
The root goes in the ground and the exponent goes
on top.
All exponents can be written in radical form.
That was easy
5
2
11
Converting from Radical Form to Exponential Form
Remember that the root goes in the ground and the
exponent goes on top. Also remember this rule
about exponents.
Rewrite each expression in exponential form.





Asi de Facil
12
Converting from Exponential Form Radical to Form
Remember that the root goes in the ground and the
exponent goes on top. Also remember this rule
about exponents.
Rewrite each expression in exponential form.




That was easy
13
Homework
Page 450 - 451 18 34 Even s