Post on 13-Dec-2015
Bell Work 3/11/2015
Define the following:
1.Power of a Power Property
2.Product of Powers Property
3.Power of a Product Property
Yesterday’s Homework
1. Any questions?2. Please pass your homework to the front.
• Make sure the correct heading is on your paper.• Is your NAME on your paper?
• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.
Multiplication Properties of Exponents (separate)
04/18/23
Heading
Simplify simple expressions using the multiplication properties of exponents.
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.
7.3A
Notes• Product of Powers Property
m n m na a a
Ex.3 22 23 22
32
This makes sense!
3 22 2 2 2 2 2 2
52
How many 2’s do we have?
Ex.2 4x x2 4x 6x
This makes sense!
2 4x x x x x x x x
6x
How many x’s do we have?
5232
NotesSimplify.
Ex.6 3x x6 3x 9x
Now you try.
Ex.8z z8 1z 9z
1
Ex.5 6t t5 6t 11t
Ex.5r r
1 5r 6r
1
Ex.3 4 8p p p
3 4 8p 15p
Ex.2 5 6x x x x 2 5 1 6x 14x
1
Ex.4 75 2x x
4 75 2 x 1110x
Ex.2 67 3y y
2 67 3 y 821y
Notes• Power of a Power Property
nm m na a
Ex. 232
3 22
64
This makes sense!
232
22 2 2
62
How many 2’s do we have?
Ex. 42x
2 4x
8x
This makes sense!
42x 4x x
8x
How many x’s do we have?
2 2 2 2 2 2
x x x x x x x x
62
64
NotesSimplify.
Ex.
72x2 7x
14x
Now you try.
Ex. 2
71 27
49
1
Ex.
54y4 5y
20y
Ex.
232
27
3 22
64
62
Ex.
2 52 23 x2 2 2 53 x
1081x
Ex.
9 43 7x y3 9 7 4x y
27 28x y
4 103 x
Ex.
23x
3 2x
6
1
x
Ex.
054
6x
5 04
1
04
Notes• Power of a Product Property
m m ma b a b
Ex. 23x
23
29x
2x
Simplify.
This makes sense!
23x 3 3x x
29x
How many 3x’s do we have?
3 3 x x
NotesSimplify.
Ex. 7xy
7x7 7x y
7y
Now you try.
Ex.
43xy
43
4 481x y 4x 4
y
Ex.
32rs
32
3 38r s
3r 3
s
Ex.
27ab
27
2 249a b
2a 2
b
Ex.
5ab
5a
5 5
1
a b
5b
Ex.
23x
23
2
1
9x
2x
2 2
1
3 x
Summary
If you are multiplying terms with exponents that have the same base, just ____ the exponents. If you take a power to a power, just ________ the two exponents. If the exponent is on the outside of the parenthesis just “_______” the power to every term being multiplied together.
addmultiply
distribute
Today’s Homework
1. Pencil ONLY.2. Must show all of your work.
• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.
Rules for Homework
Homework 7.3ASimplify.
2 51. x x 2 32. 2 2 4 73. y y y
3 24. 4 5y y 735. x
4 63 58. x y
626. y
087. b 29. 5y
410. 3x 5
11. 2yz
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Ticket Out the Door
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Simplify. 5 4x x 45x 5
xy