Download Exponent

Solve and graph the solution:
–2x + 1 ≥ 5
–1 –1
–2x ≥ 4
–2 –2
x ≤ –2
 Anytime you divide by a negative number,
you need to flip the sign!
Open or Closed ?
-5
-4
-3
-2
-1
0
1
2
 Now we have to graph it on a Number Line
Left or Right ?
CA STANDARDS
2.0: Students understand and use such operations as taking the opposite,
finding the reciprocal, taking a root, and raising to a fractional power. They
understand and use the rules of exponents.
Learning Objectives: (1)Students will be able to multiply exponents.
Agenda
01/05/12
1.) Warm-Up
2.) Lesson-Multiplying and Dividing Exponents
3.) Assignment
4.) STAY ON TASK!!!
MULTIPLYING EXPONENTS
Exponent
What is an exponent?
 Let’s break it down!
3
4
= 3•3•3•3
Base
Base - Tells you what # you multiply.
Exponent - Tells you how many times you
multiply the Base.
Write This!
 Example 1:
Simplify:
4 4  4
8
4
3
3+5
5
 Keep the base
 Add the exponents
 Example 2:
x x x
3
6
x
3+6
9
 Keep the base
 Add the exponents
 You try:
Simplify:
7 7
6
4
7
7
z z  z
5
9
z
6+4
 Keep the base
 Add the exponents
10
5+9
14
 Keep the base
 Add the exponents
 Example 2:
Simplify:
4 y  3 y = 4●3 y
2
4
2+4
 12 y
1.) Multiply the numbers in front.
2.) Keep the base number (or variable)
3.) Add the exponents.
6
 Example 3:
Simplify:
4
25 x
8
5x
 Divide the #’s in front
 Keep the base
 (25  5) x
4–8
 5x
 Subtract the exponents
4
 Can we have a negative exponent?
 You try:
Simplify:
7
32a
1
8a
 Divide the #’s in front
 Keep the base
 (32  8) a
7–1
 4a
6
 Subtract the exponents
 Example 4:
PEMDAS
Simplify:
2
7 3
x (3 x )
 x (3 x )
2
1●3 7●3
 x (3 x )
2
21
 x (27 x )
2
3
 27 x
23
 27x
 Do the exponent first
(Power to Power)
 Keep the base
 Multiply the exponents
21
2+21
Multiplying #’s with Exponents
 Keep the base
 Add the exponents
 Example 5:
PEMDAS
Simplify:
2
6 2
(4 x )(5 x )
 ( 4 x )( 5 x )
2
1●2 6●2
 (4 x )(5 x )
2
12
 (4 x )( 25 x )
2+12
 4 25 x
14
 100x
2
2
 Do the exponent first
(Power to Power)
 Keep the base
 Multiply the exponents
12
Multiplying #‘s with Exponents
 Multiply the #’s in front
 Keep the base
 Add the exponents