Download Looking Back at Exponents

Looking Back at Exponents
Objective: Students will recall and
apply properties of exponents.
Exponents
What does an exponent mean? (what does it tell
us to do)
Repeated multiplication and how many
times to multiply
What is the base versus the exponent?
Base is the number that is being
repeatedly multiply
Operations with Exponents
1. Can we add or subtract numbers or terms
with exponents
Same base and different
2. Can we multiple terms with exponents
Same base and different
3. Can we divide terms with exponents
Same base and different
4. Raising an exponent to another power
Addition and Subtraction
Usually looking at variables as the base, because
numbers could always be simplified
Add the following, what rule could you come up
with
x x
5
x x
3
3
3
x y
3
3
The base needs to be the same and
so does the exponent to be able to
add them together
All you do is add the coefficients but
keep variable and exponent the same
Multiplication
Do bases need to be the same
Yes and no, yes to really simplify, no to just
write next to each other
Perform the following multiplication
3
x x
4
What rule or property can you
com up with
Add the exponents
3
x y
4
Division
Again do bases need to be the same
Perform the division
6
x
5
x
5
x
2
y
What rule or property can you com up with
Subtract denominator exponent from
numerator
Exponent
Only one base in these problems
x 
x 
4 3
3 5
What rule or property can you com up with
Multiply the exponents
Summary
Addition and Subtraction
Combine like terms, same base and
exponent just add the coefficient
Multiplication
Same base and just add exponents
Division
Same base and subtract denominator
exponent from numerator exponent
Exponent
Only 1 base, multiply exponents
Fractions
If base is a fraction in parenthesis you need to
be able to distribute the exponent to all the
variables and numbers inside
3
x
x
 x
   3 
3
27
3
3
3
Combination of Operations
Can you apply multiple rules to simplify an
expression
2
3
( x y) x
2
x y
x y
 2
 xy
3
5



3
Homework
Finish Worksheet
Pg 363 2,5
Pg 352 2,3,4,6