Quiz about Exponent Laws

Question 1

Simplify the following:
(x³)⁶

Accepted Answer

x18

Answer

x9

Answer

x6

Answer

x3

Question 2

What is the value of:
(2³)³

Accepted Answer

512

Answer

1

Answer

4

Answer

64

Question 3

What is the value of:
z⁰

Accepted Answer

1

Answer

z2

Answer

z

Answer

0

Question 4

Simplify the following:
x^-3

Accepted Answer

1/x3

Answer

1/x-3

Answer

x3

Answer

1/x

Question 5

Simplify the following:
x²x³

Accepted Answer

X5

Answer

x3

Answer

x2

Answer

x6

Question 6

3.) Simplify
(45x⁶y²) / (5x⁴y⁹)

Accepted Answer

(9x²)/y⁷

Answer

40x2y7

Answer

9x2y7

Answer

9x¹⁰y¹¹

Question 7

Simplify:
(-4r³s⁵)⁰ (3b⁴c²d)

Accepted Answer

3b4c2d

Answer

1

Answer

-12b⁴c²d

Answer

0

Question 8

Simplify:
(9n⁴)(6n⁷)

Accepted Answer

54n11

Answer

15n11

Answer

15n28

Answer

54n28

Question 9

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 10

Simplify:
6x⁵y² /2x⁴y²

Accepted Answer

3x

Answer

3xy

Answer

4x

Answer

4xy

Question 11

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

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 12

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

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 13

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

Accepted Answer

multiply

Answer

add

Answer

subtract

Answer

divide

Question 14

Evaluate the expression using the quotient rule.

Accepted Answer

x5

Answer

x13

Answer

x36

Answer

x-5

Question 15

Simplify (-4r⁵)(2r⁸)

Accepted Answer

-8r13

Answer

-2r13

Answer

-8r40

Answer

-2y40

Question 16

Question 16.

Accepted Answer

a2b7

Answer

a8b13

Answer

a¹⁵b³⁰

Question 17

Question 17.

Accepted Answer

a2b7

Answer

a8b13

Answer

a¹⁵b³⁰

Question 18

Which expression is equivalent to the given?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 19

Simplify the following:
(x²y)⁵

Accepted Answer

x10y5

Answer

x7y5

Answer

x2y5

Answer

x5y5

Question 20

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 21

Simplify the following expression:
xy^-7

Accepted Answer

x/y7

Answer

xy7

Answer

x7/y

Answer

x7y

Question 22

(2ab)3

Accepted Answer

23a3b3

Answer

2ab3

Answer

6a3b3

Answer

6ab

Question 23

Question 23.

Accepted Answer

3y23/4

Answer

2x/y9

Answer

3y23/4x

Answer

3x²³/y⁴

Question 24

(f^-6)(f¹⁰)

Accepted Answer

f4

Answer

f16

Answer

1/f4

Answer

1/f16

Question 25

Which two exponent rules do you need to use to simplify this expression?

Accepted Answer

Power Rule and Negative Exponent Rule

Answer

Product Rule and Quotient Rule

Answer

Power Rule and Product Rule

Answer

Zero Rule and Power Rule

Question 26

Simplify (-2a²b³)(-6a³b)

Accepted Answer

12a5b4

Answer

-8a5b4

Answer

-12a⁵b⁴

Answer

12a6b3

Answer

-8a6b3

Question 27

Select all the expressions that simplify to 12a⁸

Accepted Answer

(-3a⁵)(-4a³)

Accepted Answer

(2a⁴)(6a⁴)

Accepted Answer

Option D is correct

Answer

(6a²)(2a⁴)

Answer

(6a4)2

Question 28

Select the exponent that makes the equation true.

Accepted Answer

2

Answer

1

Answer

3

Answer

6

Answer

24

Question 29

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

Accepted Answer

x20y8

Answer

x²⁸y¹² / x²y

Answer

x²⁸y¹² / x⁸y⁴

Question 30

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

Accepted Answer

a¹⁴b¹⁶

Answer

(a⁷b)(ab⁸⁾

Answer

a¹²b⁴a²b¹²

Question 31

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

Accepted Answer

4 / k8

Answer

4k4

Answer

4k-8

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