Quiz about 8.1 & 8.2

Question 1

Simplify the expression: $$3^3 imes4^3$$

Accepted Answer

$$12^3$$

Answer

$$12^9$$

Answer

$$12^6$$

Answer

$$7^6$$

Question 2

Write an equivalent expression: $$12^4 imes12^6$$

Accepted Answer

$$12^{10}$$

Answer

$$12^{24}$$

Answer

$$144^{10}$$

Answer

$$24^{10}$$

Question 3

What is the EXPONENT in the power written below?

4

Accepted Answer

1

Answer

0

Answer

4

Answer

2

Question 4

Simplify:

$$t^9\cdot t^8$$

Accepted Answer

$$t^{17}$$

Answer

$$t^1$$

Answer

$$t^{72}$$

Answer

None of the above

Question 5

Simplify:

$$7^8\cdot7$$

Accepted Answer

$$7^9$$

Answer

$$49^8$$

Answer

$$7^8$$

Answer

None of the above

Question 6

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

Accepted Answer

add the exponents

Answer

add the bases

Answer

multiply the bases

Answer

multiply the exponents

Question 7

10⁵x 10⁷

Accepted Answer

1012

Answer

102

Answer

103

Answer

1013

Question 8

t⁹ x t⁸

Accepted Answer

t17

Answer

t1

Answer

t72

Answer

t

Question 9

y¹² x y¹⁰

Accepted Answer

y22

Answer

y2

Answer

y20

Answer

y120

Question 10

Simplify: (3x²)³

Accepted Answer

27x6

Answer

9x6

Answer

3x6

Answer

9x5

Question 11

Simplify:
(5ab²)²

Accepted Answer

25a2b4

Answer

10a2b4

Answer

5a2b4

Answer

25ab2

Question 12

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 13

Simplify (-3x⁴y⁵)²

Accepted Answer

9x⁸y¹⁰

Answer

6x⁸y¹⁰

Answer

3x⁸y¹⁰

Answer

-9x⁸y¹⁰

Question 14

Simplify:
(7y⁴)²

Accepted Answer

49y8

Answer

7y6

Answer

14y8

Answer

14y6

Question 15

Simplify:
(x³)²

Accepted Answer

x6

Answer

x5

Answer

x

Answer

3x2

Question 16

Simplify with one exponent on one base:

$$x^{11}\ •\ x^9\ =$$

Accepted Answer

$$x^{20}$$

Answer

$$x^{99}$$

Answer

$$x^9$$

Question 17

Finish the rule:

When you have a base raised to a power raised to a power, you ______ the exponents,

$$\left(10^4\right)^2$$

Accepted Answer

multiply

Answer

add

Answer

count

Answer

subtract

Question 18

Simplify with one exponent on one base

$$\left(7^4\right)^2$$

Accepted Answer

$$7^8$$

Answer

$$7^6$$

Answer

$$28^2$$

Answer

$$49^6$$

Question 19

Simplify with one exponent on each base

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

Accepted Answer

$$x^{20}y^{15}$$

Answer

$$x^9y^8$$

Answer

$$5x^4y^3$$

Answer

$$xy^{35}$$

Question 20

Simplify with one exponent on each base (simplify ay you can)

$$\left(3x^4y^5\right)^2$$

Accepted Answer

$$9x^8y^{10}$$

Answer

$$3x^8y^{10}$$

Answer

$$9x^6y^7$$

Answer

$$6x^8y^{10}$$

Question 21

(52)3

Accepted Answer

56

Answer

55

Answer

57

Answer

58

Question 22

(r4)6

Accepted Answer

r24

Answer

10r

Answer

r10

Answer

24r

Question 23

(x5)4

Accepted Answer

x20

Answer

x9

Answer

x

Answer

x54

Question 24

t⁹ x t⁸

Accepted Answer

t17

Answer

t1

Answer

t72

Answer

t

Question 25

10⁵x 10⁷

Accepted Answer

1012

Answer

102

Answer

103

Answer

1013

Question 26

y¹² x y¹⁰

Accepted Answer

y22

Answer

y2

Answer

y20

Answer

y120

Question 27

(r4)6

Accepted Answer

r24

Answer

10r

Answer

r10

Answer

24r

Question 28

(52)3

Accepted Answer

56

Answer

55

Answer

57

Answer

58

Question 29

What is the BASE in the power below?
4³

Accepted Answer

4

Answer

3

Answer

43

Answer

64

Question 30

What is the Exponent in the following example?
-2⁵

Accepted Answer

5

Answer

-2

Answer

2

Answer

-25

Question 31

5², in this example 5 is the ______

Accepted Answer

base

Answer

exponent

Question 32

5² , in this example 2 is the _____________

Accepted Answer

exponent

Answer

base

Question 33

If a number or variable does not have an exponent, we can assume the exponent is:

Accepted Answer

1

Answer

0

Question 34

2⁵ is the same as 2 x 5.

Accepted Answer

False

Answer

True

8.1 & 8.2

40 questions

What is the EXPONENT in the power written below?
4

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

10⁵x 10⁷

t⁹ x t⁸

y¹² x y¹⁰

Simplify: (3x²)³

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8.1 & 8.2

40 questions

What is the EXPONENT in the power written below?4

The Product of Powers Property says when the base is the same and the exponent is different you should ________________________

105 x 107

t9 x t8

y12 x y10

Simplify: (3x2)3

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What is the EXPONENT in the power written below?
4

10⁵x 10⁷

t⁹ x t⁸

y¹² x y¹⁰

Simplify: (3x²)³