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Laws of Exponent

Laws of Exponent

Assessment

Presentation

Mathematics

8th Grade

Practice Problem

Hard

Created by

Jules Bueno

Used 3+ times

FREE Resource

7 Slides • 52 Questions

1

Laws of Exponents Review

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2

Open Ended

How is your long weekend?

3

What is an exponent?

A simplified notation for repeated multiplication of the same number, term, or variable.

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4

Multiple Choice

How do you use exponents to represent numbers?

1

repeated multiplication

2

repeated addition

3

repeated subtraction

4

repeated division

5

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

?

1

75

2

76

3

67

4

77

6

When multiplying .

ADD the exponents and keep the same base.

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7

Multiple Choice

According to exponent rules, when we multiply the same base we _______ the exponents.

1

Multiply

2

Add

3

Divide

4

Subtract

8

Multiple Choice

Simplify to an equivalent expression BUT leave in exponent form.

43⋅45

1

48

2

168

3

415

4

1615

9

Multiple Choice

Simplify:

b2 ⋅ b4

1

b8

2

b6

3

b2

4

2b6

10

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11

Multiple Choice

According to exponent rules, when we divide the same base we _______ the exponents.

1

Multiply

2

Add

3

Divide

4

Subtract

12

Multiple Choice

Question image

Evaluate this expression using the quotient rule.

1

95

2

99

3

15

4

9-5

13

Multiple Choice

Question image
Simplify the expression.
1

76

2

7-5

3

1/75

4

75

14

When you have an exponent raise to an exponent ( ) ,

MULTIPLY the exponents.

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15

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.
1

add

2

subtract

3

multiply

4

divide

16

Multiple Choice

Simplify:

(x5)4

1

x9

2

x20

3

x

4

x54

17

Multiple Choice

(r4)6
1

10r

2

r10

3

24r

4

r24

18

Anything with a power/exponent of zero equals 1!

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19

Multiple Choice

Simplify (-1/2)0

1

1

2

0

3

-1

4

-2

20

​Let us Recap

21

Multiple Choice

Question image

Evaluate this expression using the quotient rule.

Subtract

1

95

2

99

3

15

4

9-5

22

Multiple Choice

(2ab)3

Distribute

1

23a3b3

2

2ab3

3

6a3b3

4

6ab

23

Multiple Choice

(y9)-2

Multiply

1

y18

2

y11

3

1/y18

4

y9/2

24

Multiple Choice

Question image

Evaluate the expression using the quotient rule.

1

34

2

3-12

3

332

25

Multiple Choice

Question image

Multiply the base and distribute

1

A

2

B

3

C

4

D

26

Multiple Choice

Question image
Solve (hint: there's more than 1 law you must obey)
1

x28y12 / x2y

2

x28y12 / x8y4

3

x40y8

27

Multiple Choice

Power to a Power Law states: keep the base the same and do this to the exponents.
1
multiply
2
add
3
subtract
4
divide

28

Multiple Choice

Division Law states: keep the base the same and do this to the exponents.
1
multiply
2
add
3
subtract
4
divide

29

Multiple Choice

Zero Exponent Law states that _____ becomes a 1.
1
the exponent
2
the base
3
nothing
4
the whole term

30

Multiple Choice

Simplify:
x÷ x2
1
x7
2
x3
3
x10
4
x2.5

31

Multiple Choice

Simplify:
(x3)(x2)
1
x5
2
x6
3
x
4
x1.5

32

Multiple Choice

Simplify:
2a÷ 2a3
1
a4
2
1/a4
3
2a4
4
a7/3

33

Multiple Choice

Simplify:
(3t2)3
1
9t6
2
9t5
3
27t6
4
27t5

34

Multiple Choice

Simplify (-5.7)0
1
1
2
0
3
-1
4
-5.7

35

Multiple Choice

Question image
1
-6c5
2
-6c
3
6c
4
-6c6

36

Multiple Choice

(6x2)(-3x5)
1
18x7
2
-18x7
3
18x10
4
3x7

37

Multiple Choice

According to exponent rules, when we multiply the same base we _______ the exponents.
1
Multiply
2
Add
3
Divide
4
Subtract

38

Multiple Choice

Simplify the following expression: 
xy-7
1
1/(xy7)
2
x/y7
3
x7/y
4
x7y

39

Multiple Choice

(2x3y)6
1
2x18y6
2
64x18y6
3
64x3y6
4
2x3y6

40

Multiple Choice

According to exponent rules, when we divide the expressions we _______ the exponents.
1
add
2
subtract
3
multiply
4
divide

41

Multiple Choice

According to exponent rules, when we multiply the same base we _______ the exponents.

1

Multiply

2

Add

3

Divide

4

Subtract

42

Multiple Choice

Question image
Evaluate this expression using the quotient rule.
1

95

2

99

3

15

4

9-5

43

Multiple Choice

Simplify: 32343^2\cdot3^4  

1

363^6  

2

383^8  

3

323^2  

4

323^{-2}  

44

Multiple Choice

Simplify: 5535\cdot5^3  

1

515^1  

2

525^2  

3

535^3  

4

545^4  

45

Multiple Select

Simplify: 5654\frac{5^6}{5^4}

1

5105^{10}  

2

525^2  

3

525^{-2}  

4

25

46

Multiple Choice

Simplify:
(x3)(x2)
1
x5
2
x6
3
x
4
x1.5

47

Multiple Choice

Simplify:
(x5)4
1
x9
2
x20
3
x
4
x54

48

Multiple Choice

(x3)(x5)(x10)
1
150x
2
18x
3
x18
4
x150

49

Multiple Choice

Question image
1
49
2
444
3
421
4
415

50

Multiple Choice

n²⋅n⁴⋅n⁵
1
n¹¹
2
n⁴⁰
3
n¹³
4
n²²

51

Multiple Choice

Question image
1
2560
2
2517
3
560
4
517

52

Multiple Choice

3³ ⋅ 3
1
34
2
33
3
30
4
1 ⁄ 34

53

Multiple Choice

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x
1
x6
2
6x
3
x3
4
6x6

54

Multiple Choice

Simplify:
9⋅ 94 = 912
1
True 
2
False 

55

Multiple Choice

Simplify: 
(-2)³⋅(-2)⁶
1
(-2)⁹
2
(-2)¹⁸
3
(-2)⁻³
4
(-2)

56

Multiple Choice

Question image

Select the exponent that makes the equation true.

1

3

2

5

3

10

4

15

5

1

57

Multiple Choice

Simplify the following:
(x2y)5
1

x7y5

2

x2y5

3

x10y5

4

x5y5

58

Multiple Choice

Question image
1

a8b13

2

a2b7

3

a15b30

59

Multiple Choice

Simplify: x8y7z6x5y4z3\frac{x^8y^7z^6}{x^5y^4z^3}  

1

x3y3z3x^3y^3z^3  

2

x13y11z9x^{13}y^{11}z^9  

3

1x3y3z3\frac{1}{x^3y^3z^3}  

4

x40y28z18x^{40}y^{28}z^{18}  

Laws of Exponents Review

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