Algebra 2 - Unit 1 - Day 4 - DP Properties of Exponents ... · Algebra 2 Unit 1 Day 4 DP Properties...

Algebra 2 Unit 1 Day 4 DP Properties of Exponents.notebook September 25, 2017

Algebra 2 09/25/17Aim: What Shortcuts Can Help Us Multiply and Divide Polynomials?HW: Properties of Exponents WS

DO NOWSimplify each expression.

1) 2)

3) 4)


Simplify each expression.

1) 2)

3) 4)

Aim: What Shortcuts Can Help Us Multiply and Divide Polynomials?HW: Properties of Exponents WS


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Look at the completed problems below, and discuss a shortcut that works for ALL of them.

Use your shortcut to simplify this expression:



Multiplying ExponentsMultiplying exponents with the same base

RULE: ADD THE EXPONENTS

What is the shortcut?

x3x2x5

(x x x) (x x) (x x x x x) Use Commutative Property

x3 (x5) = x8


andMultiply the Coefficients


(x2)(x3)

(x3)(x4)

3m5 (7m)

2x3y (11x5y4)

Try it yourself

1)

Simplify each expression

2)

3) 4)



(x2)(x3)

(x3)(x4)

3m5 (7m)

2x3y (11x5y4)

Try it yourself

1) Simplify each expression

2)

3) 4)


4Correct

0 1Correct

2 3Correct


How about dividing???Look at the completed problems below, and

discuss a shortcut that works for ALL of them.




Dividing Exponents

Dividing exponents with the same baseRULE: SUBTRACT THE EXPONENTS

x6 x2 = x

4What is the shortcut?


andDivide the Coefficients


Try it yourself

1)


2)

3) 4)



Try it yourself


2)

3) 4)


4Correct

0 1Correct

2 3Correct


Raising a Power to a Power

(22)3

(c3)4

Exponential Form Expanded form Completely Expanded Form Simplified



Look at the completed problems below, and discuss a shortcut that works for ALL of them.


Raising a power to a powerRULE: MULTIPLY THE EXPONENTS

and Raise the Coeffient to the Power or Exponent

(ab)c = abc


What is the shortcut?


Try it yourself

1)


2) 3)




Try it yourself


2) 3)

3Correct

0 1Correct

2 Correct


What shortcuts can we use when multiplying or dividing expressions with exponents?




• Complete Classwork independently

• Check your answers with a partner.

• If you get stuck, signal red.

Assess as You Work

1

2

3

I got it!

I don't get it

I'm not sure



Worksheet #1

1) 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2562) 5 * 5 * 5 = 1253) x * x * x * x * x = x5

4) 10 * 10 * 10 = 1,0005) 8 * 8 * 8 * 8 * 8 = 85 = 32,768 6) 7 * 7 * 7 * 7 * 7 = 75 = 16,8077) x * x * x * x * x * x * x * x * x = x9

8) The exponents are added9) 27 = 12810) 84 = 4,096

11) t5

12) x14

13) 81x8

14) 24x4

15) 18x3y7

16) 5m8p5

17) 110g4h16v6

18) 60f15h5

19) 18x7y8

20) 3xayb+fzc+g



Worksheet #2

1) 23 * 23 * 23 * 23 = 212 = 4,0962) p10

3) x2m

4) 26 * x2 = 64x2

5) Multiply the exponents 6) 4x2

7) 106 = 1,000,0008) 59,049x30

9) 343j6

10) 512n6p3

11) 54a6 12) x6y6

13) 16x0 or 1614) 243x10

15) 9x2 or 9

32y10

16x216


1) 2)


Exit Slip Simplify each expression.


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Algebra 2 - Unit 1 - Day 4 - DP Properties of Exponents ... · Algebra 2 Unit 1 Day 4 DP Properties...

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