Quiz about Laws of Exponents Mixed Practice

Question 1

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 2

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

Accepted Answer

add

Answer

subtract

Answer

multiply

Answer

divide

Question 3

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 4

How do you solve:
(2x⁵)(6x⁴)

Accepted Answer

MULTIPLY coefficients
ADD exponents

Answer

MULTIPLY coefficients
MULTIPLY exponents

Answer

DIVIDE coefficients
SUBTRACT exponents

Answer

Combine like terms

Question 5

(2x3y)6

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 6

Simplify (-4r⁵)(2r⁸)

Accepted Answer

-8r13

Answer

-2r13

Answer

-8r40

Answer

-2y40

Question 7

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 8

What is 10⁰equivalent to?

Accepted Answer

1

Answer

10

Answer

0

Answer

100

Question 9

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 10

Which of the following is in exponential form?

Accepted Answer

53

Answer

5 x 5 x 5

Answer

125

Question 11

Which of the following is in repeated multiplication form?

Accepted Answer

5 x 5 x 5

Answer

125

Answer

53

Question 12

Write $$7^5$$ as repeated multiplication

Accepted Answer

7x 7 x 7 x 7 x 7

Answer

Answer

Answer

Question 13

$$10^2$$ Identify the base

Accepted Answer

Answer

Question 14

$$10^2$$ Identify the exponent

Accepted Answer

Answer

Question 15

Write the equation using exponents

3 X 3 X 3

Accepted Answer

33

Answer

31

Answer

32

Question 16

Simplify the following:
(x³)⁶

Accepted Answer

x18

Answer

x9

Answer

x6

Answer

x3

Question 17

Simplify:
(x³)(x²)

Accepted Answer

x5

Answer

x6

Answer

x

Answer

x1.5

Question 18

Simplify:
(x³)⁴

Accepted Answer

x12

Answer

x7

Answer

x-1

Answer

x3/4

Question 19

Simplify:
3p²x 2p⁴q²

Accepted Answer

6p6q2

Answer

6p-2q2

Answer

6p2q2

Answer

6p8q2

Question 20

Simplify:
(3t²)³

Accepted Answer

27t6

Answer

9t6

Answer

9t5

Answer

27t5

Question 21

Simplify:
3(x³y²)²

Accepted Answer

3x6y4

Answer

3x5y4

Answer

9x6y4

Answer

9x5y4

Question 22

Simplify:
(x³y²)(xy⁴)

Accepted Answer

x4y6

Answer

x3y8

Answer

x3y6

Answer

x4y8

Question 23

Evaluate:
2^-3

Accepted Answer

1/8

Answer

-8

Answer

-6

Answer

1/6

Question 24

Simplify:
(64a⁶)^1/2

Accepted Answer

8a3

Answer

32a3

Answer

32a4

Answer

8a4

Question 25

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

Accepted Answer

subtract

Answer

add

Answer

multiply

Answer

divide

Question 26

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 27

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 28

Simplify (-4r⁵)(2r⁸)

Accepted Answer

-8r13

Answer

-2r13

Answer

-8r40

Answer

-2y40

Question 29

Evaluate the expression using the quotient rule.

Accepted Answer

x5

Answer

x13

Answer

x36

Answer

x-5

Question 30

Which expression is equivalent to the given?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 31

Simplify the exponential expression.

Accepted Answer

8x6y12

Answer

2x6y12

Answer

2x5y7

Answer

8x5y7

Question 32

(2ab)3

Accepted Answer

23a3b3

Answer

2ab3

Answer

6a3b3

Answer

6ab

Question 33

(4x)3

Accepted Answer

64x3

Answer

7x3

Answer

12x3

Answer

16x3

Question 34

x-3

Accepted Answer

1/x3

Answer

1/x-3

Answer

3x

Answer

1/3x

Question 35

$$\left(3x^4\right)^5$$

Accepted Answer

$$243x^{20}$$

Answer

Answer

$$15x^{20}$$

Answer

Question 36

Accepted Answer

7

Answer

1

Answer

Answer

Question 37

$$\frac{1}{a^{-5}}$$

Accepted Answer

Answer

Answer

$$\frac{a}{5}$$

Answer

$$\frac{5}{a}$$

Question 38

Question 38.

Accepted Answer

Answer

$$\frac{w^3z}{4}$$

Answer

$$\frac{4}{w^3z}$$

Answer

Question 39

Question 39.

Accepted Answer

$$5a^{12}b^4$$

Answer

$$5a^{32}b^{10}$$

Answer

$$\frac{a^{12}b^4}{5}$$

Answer

$$\frac{5}{a^{12}b^4}$$

Question 40

Question 40.

Accepted Answer

$$28x^{13}z^9$$

Answer

$$11w^{13}w^9$$

Answer

$$28w^5z^9$$

Answer

$$11w^5z^{-3}$$

Question 41

Question 41.

Accepted Answer

$$-40x^{12}y^{15}$$

Answer

$$-40x^4y^{11}$$

Answer

$$2x^{12}y^{15}$$

Answer

$$2x^4y^{11}$$

Question 42

Evaluate the expression using the quotient rule.

Accepted Answer

1/34

Answer

34

Answer

3-12

Answer

332

Question 43

Evaluate this expression using the quotient rule.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 44

(y9)-2

Accepted Answer

1/y18

Answer

y18

Answer

y11

Answer

y9/2

Question 45

(b²)( b⁴)

Accepted Answer

b6

Answer

b8

Answer

b2

Answer

2b6

Question 46

Simplify the following:
(x³)⁶

Accepted Answer

x18

Answer

x9

Answer

x6

Answer

x3

Question 47

Simplify the following:
x²x³

Accepted Answer

X5

Answer

x3

Answer

x2

Answer

x6

Question 48

What is the value of:
z⁰

Accepted Answer

1

Answer

z2

Answer

z

Answer

0

Question 49

Simplify the following:
y⁶/y⁴

Accepted Answer

y2

Answer

y10

Answer

y-2

Answer

1/y2

Question 50

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 51

Simplify the following expression:

(x⁵)⁴

Accepted Answer

x20

Answer

x9

Answer

x

Answer

x54

Question 52

Simplify the following expression:

(b³)⁸

Accepted Answer

b24

Answer

b11

Answer

8b3

Answer

24b

Question 53

Simplify the following expression:

(2x³y)⁶

Accepted Answer

64x¹⁸y⁶

Answer

2x¹⁸y⁶

Answer

64x3y6

Answer

2x3y6

Question 54

(2ab)3

Accepted Answer

23a3b3

Answer

2ab3

Answer

6a3b3

Answer

6ab

Question 55

Simplify the following expression:

(3x³y⁵)⁴

Accepted Answer

81x¹²y²⁰

Answer

3x¹²y²⁰

Answer

12x¹²y²⁰

Answer

81x7y9

Question 56

(2n⁴ )(5n⁴)

Accepted Answer

10n8

Answer

7n4

Answer

10n16

Answer

none of the above

Question 57

Question 57.

Accepted Answer

z10

Answer

110

Answer

126

Answer

z26

Question 58

Question 58.

Accepted Answer

4y6

Answer

4y22

Answer

30y6

Answer

30y22

Question 59

Simplify the following: a³ x a⁵

Accepted Answer

a8

Answer

a5

Answer

a15

Answer

1

Question 60

x-3

Accepted Answer

1/x3

Answer

1/x-3

Answer

3x

Answer

1/3x

Question 61

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 62

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 63

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 64

Classify the model as Exponential GROWTH or DECAY.

A=1200(0.85)⁶

Accepted Answer

Decay

Answer

Growth

Laws of Exponents Mixed Practice

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