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100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero Exponents Negative Exponents Simplifying Variable Expressions

100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

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Page 1: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

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Multiplying Powers

Dividing Powers

Zero Exponents Negative Exponents

Simplifying Variable

Expressions

Page 2: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Multiplying Powers for 100Multiplying Powers for 100

Use the multiplying power rule:

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is b4?

b b3 a) b3

b) b4

c) b2

d) b

Page 3: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Multiplying Powers for 200Multiplying Powers for 200

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is -26 = 64?

2 23 3

Page 4: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Multiplying Powers for 300Multiplying Powers for 300

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 826?

8 8 8 84 9 1 2 a) 8432

b) 824

c) 825

d) 826

Page 5: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Multiplying Powers for 400Multiplying Powers for 400

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is m4?

m m m5 2 a) m3

b) m4

c) m7

d) m-3

Page 6: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Multiplying Powers for 500Multiplying Powers for 500

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is a7?

a a a a a2 3 7 0

a) a7

b) a12

c) a13

d) a-12

Page 7: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Dividing Powers for 100Dividing Powers for 100

3

3

4

2

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 32=9 ?

Page 8: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Dividing Powers for 200Dividing Powers for 200

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is -105?

1 0

1 0

9

4

a) 105 c) -105

b) 1013 d) -5

Page 9: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Dividing Powers for 300Dividing Powers for 300

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is x4y5?

x y

xy

5 7

2

a) x12y2 c) x2y5

b) x4y5 d) x10y10

Page 10: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Dividing Powers for 400Dividing Powers for 400

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is a9b11c5?

a b c

a b c

2 1 1 8 6

1 2 7

a) abc c) a9b11c5

b) a32b15c7 d) a9b11c6

Page 11: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Dividing Powers for 500Dividing Powers for 500

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is x-12y16z10?

x y z

x y

3 3 5 1 0

9 1 9

a) x-12y3z10 c) x -12 y16z10

b) x12y16z10

Page 12: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Zero Exponents for 100Zero Exponents for 100

880

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 1?

Page 13: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Zero Exponents for 200Zero Exponents for 200

x0

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What is 1?

Page 14: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Zero Exponents for 300 Zero Exponents for 300

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 1?

y y1 0 1 0

Page 15: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Zero Exponents for 400Zero Exponents for 400

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 1?

3

1 4

1 4

5 2 0

0xy z

x y

Page 16: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Zero Exponents for 500Zero Exponents for 500

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 5z2?

5 0 0 2x y z

a) 5z2 c) 7z2

b) 5x2

Page 17: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Negative Exponents for 100Negative Exponents for 100

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 1/49?

7 2

Page 18: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Negative Exponents for 200Negative Exponents for 200

14x

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What is x4?

a) x

b) x -4

c) x4

Page 19: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Negative Exponents for 300Negative Exponents for 300

5 1

3

x

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is x2/5?

a) x3/5

b) x-3/5

c) x4/5

d) x2

Page 20: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Negative Exponents for 400Negative Exponents for 400

x y3 6

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What is x3/y6?

a) x/y

b) x9/y

c) X3/y6

Page 21: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Negative Exponents for 500Negative Exponents for 500

d e f

g h

2 11 1

4 8

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What is d2g4/e11fh8?

a) d2g4/e11fh8

b) dg4/e11fh8

Page 22: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Variable Expressions for 100Variable Expressions for 100

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 15a6?

3 52 4a aa) 8a6

b) 15a2

c) 15a6

Page 23: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Variable Expressions for 200Variable Expressions for 200

4

2

5

2

n

n

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 2n3?

a) 2n3

b) 6n7

c) 4n7

Page 24: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Variable Expressions for 300Variable Expressions for 300

3

1 8

7

0

x

x

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is x7/6?

a) x7/6

b) x8/6

c) 21x

Page 25: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Variable Expressions for 400Variable Expressions for 400

9 64 9 2xyz x y z

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What is -54x10y2z2?

a) 54x10y2z2

b) -54x10y2z2

Page 26: 100 200 100 200 300 400 500 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 Multiplying Powers Dividing Powers Zero ExponentsNegative

Variable Expressions for 500Variable Expressions for 500

1 2 4 20 3 11 3 2 1 7 6 1a b c a bc a b c

Push the Space Bar to check your answer.Push the Space Bar to check your answer.

What is 96a20b4c12 ?

a) -96a-20bc

b) -96a10b5c12

c) 96a20b4c12