1. Go over Homework

2. 2-7 Powers and Exponents

3. Defintion exponent base The number times the base is multiplied.
The number of bases there are.
The number being used as a factor.
The number being multiplied over and over again.

4. base
The number being used as a factor.
5 x 5 x 5
Base

5. exponent
The number times the base is multiplied.
Exponent

6. Defintion
power
a number expressed using an exponent.

7. power
a number expressed using an exponent.
Power

8. Ch. 2-7 Powers and Exponents Recall the order of Operations:
-An exponent tells how many times a number, or base, is used as a factor.
Example: 23 = 2 * 2 * 2 where 2 is the base and 3 is the exponent
-An expression using a base and an exponent is a power.
Example: 42 is a power
Example 1: Write the following expressions using exponents.
a.) 2 * 2 * 5 * 5 * 5 * 5 b.) a * a * a * a * b * b * b
22 * 54
a4 * b3
Recall the order of Operations:
1.) Work inside grouping symbols
2.) Simplify Powers (exponents)
3.) Multiply and divide from left to right whatever comes first
4.)Add and subtract from left to right whatever comes first

9. Example 1: Simplify the following powers below.
a.)(-5)4 b.) c.) (-2)3
625
-25 -8
*Make sure that if the negative sign is in the parentheses you include it when you multiply that number by itself however many times.
*If it is not inside parentheses then your answer is ALWAYS negative!
Example 2: Simplify each expression below.
a.) 26 – (2 * 5)2 b.) * 32
Simplify parentheses first 26 – (10)2
Simplify the power first * 9
Now simplify multiplication and then add = 50
Now simplify the power 26 – 100 = -74

10. c.) (-3) * d.) * 1
Simplify the power first * 2
Simplify the power first * 1
Now simplify the multiplication and then add = 2
Now simplify the multiplication and then add = 33

11. 26-38 show order of operation steps
Homework
Pg 88 #12-38 (skip 32) evens only
26-38 show order of operation steps
#12-16 –> 2x2y3
Alpha order and not multiplication sign