1. Basic Definitions a 3 a x a x a a as factor 3 times exponent power
base
a x a x a
a as factor 3 times
Power – is a product with repeated factor.
Exponent – tells us how many times the base used as a factor

2. Examples Power Repeated multiplication Description words 3 x 3 x 3 3
3 to the third power 2
7 to the second power 7
7 x 7 6
X x X x X x X x X x X
X to the sixth power x

3. Common Mistake 7 = 7 x 2 = 14 7 = 7 x 2 = 14 7 = 7 x 7 = 49
The right answer 2
7 = 7 x 7 = 49

4. Order of Operations Evaluate expressions inside grouping symbols ( )
Evaluate powers
Multiply and divide from left to right
Add and subtract from left to right

5. Lets Practice (6-4) + 5 - 3 5 x 5 x 5 x 5 12 + (4+2) - 24 10 x 10 x 107 8 9 10 2
12 + (4+2) - 24
10 x 10 x 10 1
Y x Y
500 / (12-7) 4 8 5 1 3 2 2 13