1. Exponents & Powers

2. Match Variable a. 5x2 – 3x + 2 2. Constant b. 5x2 – 3x + 2 3. Power
4. Base
d. 34
5. Exponent
e. 5x2 – 3x + 2
6. Algebraic Expression
f. 5x2 – 3x + 2

3. Dimensions
You can represent single variable terms with powers of 1, 2 or 3 using concrete materials or drawings.
The degree of each term corresponds to the number of dimensions in the model.
Draw diagrams with dimensions of 1, 2 and 3.

4. Expressed as a Single Power
Multiplying Powers
Multiplication
Expanded Form
Expressed as a Single Power
(3)(32)
(3)(3 x 3) 33
(32)(32)
(3 x 3)(3 x 3) 34
(33)(32)
(3 x 3 x 3)(3 x 3)
(33)(33)
(34)(33)
(34)(34)

5. Multiplying Powers Now, simplify these … Have you noticed the pattern?
(52)(54) =
(22)(23)(24) =
Have you noticed the pattern?
Rule for Multiplying Powers – When the base is the same, ADD the exponents!

6. Quotient Expressed as a Single Power
Dividing Powers
Division
Expanded Form
Quotient Expressed as a Single Power
32÷3 31
34÷32 32
35÷33
36÷32
37÷34

7. Dividing Powers Now, simplify these … Have you noticed the pattern?
315÷39 =
210÷26 =
Have you noticed the pattern?
Rule for Dividing Powers – When the base is the same, SUBTRACT the exponents!

8. Putting it Together Use the rules to solve the following: x6(x7)
x5(x3)(y2)(y5)
x8÷x3
(y6÷y2)(x3÷x6)

9. Finish the BEDMAS Assignment
Homework
Pg. 89 # 5, 6, 7, 8, 9, 10, 11, 19
Finish the BEDMAS Assignment
Due Tomorrow!