Bellwork~ Simplify 1.) 22 • 23 2.) 53 • 51 3.) (22)3 4.) (2xy)3 5.) (-3)2 6.) -32 1.) 32 2.) 625 3.) 26 = 64 4.) 8x3y3 5.) 9 6.) -9

To be able to apply the exponent rules to multiplication. Today’s Objective To be able to apply the exponent rules to multiplication.

Take Notes When You See

Exponent Rules 1.) am • an = 2.) (am)n = 3.) (a • b)m 4.) a-n = 3.) am • bm 4.) 1/an 5.) 1

Exponent Rules 6.) am an 7.) a n b 6.) am-n 7.) an bn

Make a Table of 2’s What’s the meaning of... 24= 23= 22= 21= 20= 16 8 2-1= 2-2= 2-3= 2-4= 2-5= 1/21= 1/22= 1/23= 1/24= 1/25= 1/2 1/4 1/8 1/16 1/32

Explain the exponent rule for multiplying like bases to your neighbor. What’s the meaning of... x3 means x • x • x So…. x3 • x2 = x • x • x • x • x = x5 Explain the exponent rule for multiplying like bases to your neighbor.

What’s the meaning of... 1.) x2 • x4 = 2.) x1 • x2 = 3.) x5 • x5 = 5.) x3 • y2 = 1.) x6 2.) x3 3.) x10 4.) x3 5.) x3 y2

So…. x3 • x3 = x • x • x • x • x • x= x6 What’s the meaning of... (x3)2 means x3 • x3 So…. x3 • x3 = x • x • x • x • x • x= x6 Explain the exponent rule for finding a power of a power to your neighbor.

What’s the meaning of... 1.) (x2)4 = 2.) (x1)3 = 3.) (xy2)4 = 5.)(x4y2)3(2y2)2= 1.) x8 2.) x3 3.) x4y8 4.) -8x6y3 5.) 4x12y10

What’s the difference?? -32 and (-3)2 (-3)2 = -3 • -3 = 9 -32 = -1•3 •3 = -9

Closure 1.) What does x3 mean? 2.) What’s the rule for multiplying powers with like bases ? ie… x3 •x4

Closure 4.) What’s the rule for finding a power of a power ? ie… (x3)2 3.) What does (x3)2 mean? 4.) What’s the rule for finding a power of a power ? ie… (x3)2

Classwork Do worksheets 8.1 homework page 403 (10-40 even)

Bellwork~ Simplify 1.) x2 • x3 2.) 53 • 55 3.) (32)3 4.) (-2xy2)3 2.) 58 3.) 36 =1029 4.) -8x3y6 5.) 9x2 6.) -3x2

What’s the meaning of... But what about x5 x3

x2 x5 means x • x • x • x • x x3 means x • x • x So…. What’s the meaning of... x5 means x • x • x • x • x x3 means x • x • x So…. x5 = x • x • x • x • x x3 = x • x • x x2

What’s the meaning of... Explain the exponent rule for dividing with like bases to your neighbor.

x3 x5 x3 x3 x-3 What’s the meaning of... x3 = 1 x5 x2 x3 = x0 = 1 x3

Classwork Do worksheets 8.1-8.2 homework page 409 (2-40 even)

Bellwork Simplify 1.) 4xy3 5xy-3 2y x2 2.) 14x3y -2xy -4xy-3 -x 3.) -9x3y7 (2xy)2 x2y3 -6x2y2

Bellwork Simplify 1.) 4xy3 5xy-3 2y x2 20x2 2x2y 10 y

Bellwork Simplify 2.) 14x3y -2xy -4xy-3 -x -28x4y2 4x2y-3 -7x2y5

Bellwork Simplify = 6xy4 3.) -9x3y7 (2xy)2 x2y3 -6x2y2

Then complete the Special Problems worksheet. Classwork Then complete the Special Problems worksheet. Homework Pg 426 (5-22)