Quiz about Exponents Laws

Question 1

Evaluate this expression using the quotient rule.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 2

(2ab)3

Accepted Answer

23a3b3

Answer

2ab3

Answer

6a3b3

Answer

6ab

Question 3

(y9)-2

Accepted Answer

1/y18

Answer

y18

Answer

y11

Answer

y9/2

Question 4

Evaluate the expression using the quotient rule.

Accepted Answer

1/34

Answer

34

Answer

3-12

Answer

332

Question 5

Question 5.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 6

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

Accepted Answer

x20y8

Answer

x²⁸y¹² / x²y

Answer

x²⁸y¹² / x⁸y⁴

Question 7

Power to a Power Law states: keep the base the same and do this to the exponents.

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 8

Division Law states: keep the base the same and do this to the exponents.

Accepted Answer

subtract

Answer

multiply

Answer

add

Answer

divide

Question 9

Zero Exponent Law states that _____ becomes a 1.

Accepted Answer

the whole term

Answer

the exponent

Answer

the base

Answer

nothing

Question 10

Simplify:
(x³)(x²)

Accepted Answer

x5

Answer

x6

Answer

x

Answer

x1.5

Question 11

Simplify:
(3t²)³

Accepted Answer

27t6

Answer

9t6

Answer

9t5

Answer

27t5

Question 12

Simplify (-5.7)⁰

Accepted Answer

1

Answer

0

Answer

-1

Answer

-5.7

Question 13

Question 13.

Accepted Answer

-6c

Answer

-6c5

Answer

6c

Answer

-6c6

Question 14

(6x²)(-3x⁵)

Accepted Answer

-18x7

Answer

18x7

Answer

18x10

Answer

3x7

Question 15

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

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 16

Simplify the following expression:
xy^-7

Accepted Answer

x/y7

Answer

1/(xy7)

Answer

x7/y

Answer

x7y

Question 17

(2x3y)6

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 18

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

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 19

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 20

Simplify

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 21

Simplify:

Accepted Answer

1/x3

Answer

x3

Answer

x11

Answer

1/x11

Question 22

Simplify:

Accepted Answer

x8y4

Answer

x6y4

Answer

x2y4

Answer

x8y

Question 23

Simplify:

Accepted Answer

x5

Answer

1/x5

Answer

x-5

Answer

x36

Question 24

According to the product rule, when we multiply the number with exponents with the same base we _______ the exponents.

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 25

The quotient law states: Keep the base the same and _________ the exponents.

Accepted Answer

subtract

Answer

multiply

Answer

add

Answer

divide

Question 26

Question 26.

Accepted Answer

52

Answer

5-8

Answer

25-8

Answer

252

Question 27

Question 27.

Accepted Answer

All of the above

Answer

6-2

Answer

1/62

Answer

1/36

Question 28

Question 28.

Accepted Answer

49

Answer

444

Answer

421

Answer

415

Question 29

Question 29.

Accepted Answer

1

Answer

0

Answer

3

Answer

-1

Question 30

Question 30.

Accepted Answer

517

Answer

2560

Answer

2517

Answer

560

Question 31

Question 31.

Accepted Answer

1

Answer

3

Answer

0

Answer

1/3

Question 32

Question 32.

Accepted Answer

1/8

Answer

-6

Answer

8

Answer

-8

Question 33

Question 33.

Accepted Answer

36

Answer

12

Answer

1/36

Answer

1/12

Question 34

(x14)3

Accepted Answer

x42

Answer

x17

Answer

x11

Answer

3x14

Question 35

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

Question 36

Simplify:
(5ab²)²

Accepted Answer

25a2b4

Answer

10a2b4

Answer

5a2b4

Answer

25ab2

Question 37

Simplify:
(7y⁴)²

Accepted Answer

49y8

Answer

7y6

Answer

14y8

Answer

14y6

Question 38

(-4x⁴y²z³)(7x²y)

Accepted Answer

-28x⁶y³z³

Answer

28x⁸y⁴z³

Answer

11x⁶y³z³

Answer

3x⁶y³z³

Question 39

SIMPLIFY
(5x²y)³(x³y²)³

Accepted Answer

125x¹⁵y⁹

Answer

15x¹¹y⁸

Answer

Gobble Gobble

Answer

15x2y3

Question 40

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

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 41

If (2^x)⁵=2¹⁵, what does x equal?

Accepted Answer

x = 3

Answer

x = 5

Answer

x = 10

Question 42

Simplify:

(x⁵y⁴z³)²

Accepted Answer

x¹⁰y⁸z⁶

Answer

x⁷y⁶z⁵

Answer

x¹⁰y⁶z⁵

Answer

x²⁵y¹⁶z⁹

Question 43

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

Accepted Answer

76

Answer

75

Answer

67

Answer

77

Question 44

Rewrite the expression as a power.
(2⁴)(2⁵)

Accepted Answer

29

Answer

220

Answer

49

Answer

420

Question 45

Simplify the expression.
x⁴ (x¹²)

Accepted Answer

x16

Answer

x3

Answer

x48

Answer

x8

Question 46

(3ab⁷c)³

Accepted Answer

27a³b²¹c³

Answer

3a³b²¹c³

Answer

9a⁴b¹⁰c4

Answer

9ab21c

Question 47

Simplify:
(x³)(x²)

Accepted Answer

x5

Answer

x6

Answer

x

Answer

x1.5

Question 48

Simplify:
(x³)⁴

Accepted Answer

x12

Answer

x7

Answer

x-1

Answer

x3/4

Question 49

(x⁸)(x⁵)

Accepted Answer

X13

Answer

X3

Answer

X40

Question 50

(3X³⁾(4X²)

Accepted Answer

12x5

Answer

7x6

Answer

7x5

Question 51

(52)3

Accepted Answer

56

Answer

55

Answer

1256

Question 52

Evaluate this expression using the quotient rule.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 53

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

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 54

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

Accepted Answer

Subtract

Answer

Multiply

Answer

Add

Answer

Divide

Question 55

Simplify:
(x⁵)⁴

Accepted Answer

x20

Answer

x9

Answer

x

Answer

x54

Question 56

(4x)3

Accepted Answer

64x3

Answer

7x3

Answer

12x3

Answer

16x3

Question 57

3⁴is equal to which of the following?

Accepted Answer

3 x 3 x 3 x 3

Answer

3 x 4

Answer

4 x 4 x 4

Answer

(3)(4)

Exponents Laws

69 questions

Evaluate this expression using the quotient rule.

(2ab)³

(y⁹)^-2

Evaluate the expression using the quotient rule.

y⁻¹¹⋅y⁵

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

Power to a Power Law states: keep the base the same and do this to the exponents.

Division Law states: keep the base the same and do this to the exponents.

Zero Exponent Law states that _____ becomes a 1.

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