Free Printable Exponents- Multiplication Rule

1.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

2.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

3.

Simplify the expression:
5²⋅5¹=

a)

5³

b)

5³⁺¹

c)

5²

4.

Simplify the following expression:

r⁶⋅ r²⋅ r³

a)

r⁶²³

b)

r¹¹

c)

11r

d)

r³⁶

5.

What special word do you use for the exponent of 3?

a)

squared

b)

cubed

c)

triangled

d)

boxed

6.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

7.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

8.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

9.

n²⋅n⁴

a)

n²

b)

n⁸

c)

n⁶

d)

n²²

10.

Write the product as one power.
5⁵* 5⁹

a)

5¹⁴

b)

5

c)

25

d)

5⁴

11.

Write the product as one power.
m * m³

a)

m³

b)

m⁴

c)

m

d)

m³

12.

Simplify. (k²)(k³)

a)

k⁶

b)

k

c)

k⁸

d)

k⁵

13.

If you simplified this expression, what would be the exponent on the final answer?

$m^5\cdot m^3$

a)

2

b)

8

c)

15

d)

4

14.

$a^2\cdot a^3\cdot a^6$

a)

$a^{11}$

b)

$a^{36}$

c)

$a^{20}$

d)

$3a^{12}$

15.

What value of $n$ makes the statement true?
$5^7\cdot5^n=5^{10}$

a)

3

b)

2

c)

1

d)

8

16.

Simplify:
$x^3\cdot x^5$

a)

$x^2$

b)

$x^{15}$

c)

$x^8$

d)

$x^{-2}$

17.

Simplify:
$4^2\times4^4$

a)

$4^6$

b)

$4^8$

c)

$4^{-4}$

d)

$4^2$

18.

a)

d²

b)

d⁸⁰

c)

d⁸¹⁰

d)

d¹⁸

19.

In 2³what is the base?

a)

2

b)

3

c)

2³

20.

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

a)

add

b)

subtract

c)

multiply

d)

divide

21.

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

a)

add

b)

subtract

c)

multiply

d)

divide

22.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

23.

6⋅6⁷

a)

6⁸

b)

6⁶

c)

6⁷

d)

6

24.

$\left(ab\right)^3$

a)

$a^3b^3$

b)

$a^3b^{ }$

c)

$ab^3$

d)

$ab$

25.

$x^3\cdot x^4\ =$

a)

$x^{12\ }$

b)

$x^{-1}$

c)

$x^7$

d)

$x^{34}$

26.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

27.

$x^{-3}\cdot x^7\cdot x^2$ =

a)

$x^6$

b)

$x^{12}$

c)

$x^{-42}$

d)

$x^{-12}$

28.

$\left(x^7\right)^2$ =

a)

$x^{14}$

b)

$x^9$

c)

$x^5$

d)

$2x^7$

29.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

30.

Simplify (r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

31.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

32.

Simplify the expression.

(x³)^.(x⁶)

a)

x⁹

b)

x³

c)

x¹⁸

d)

x³⁶

33.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

34.

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

a)

add

b)

subtract

c)

multiply

d)

divide

35.

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

a)

add

b)

subtract

c)

multiply

d)

divide

36.

Simplify the expression.

(x³)^.(x⁶)

a)

x⁹

b)

x³

c)

x¹⁸

d)

x³⁶

37.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

38.

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

a)

add

b)

subtract

c)

multiply

d)

divide

39.

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

a)

add

b)

subtract

c)

multiply

d)

divide

40.

a)

7/ u³

b)

7u¹¹

c)

7u^1.75

d)

7u³

41.

a)

d²

b)

d⁸⁰

c)

d⁸¹⁰

d)

d¹⁸

42.

(3⁴) ^. (3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

43.

Product Rule states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

44.

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

a)

multiply

b)

add

c)

subtract

d)

divide

45.

a)

x^2.75

b)

x⁴⁴

c)

x¹⁵

d)

x⁷

46.

a)

4x⁸

b)

9x²

c)

4x²

d)

9x¹⁵

47.

(x⁸) ^. (x⁵)

a)

x^-40

b)

x^-13

c)

x³

d)

x¹³

48.

(2n⁴) ^. (5n⁴)

a)

3n⁴

b)

10n¹⁰

c)

3n⁸

d)

10n⁸

49.

(2) ^.(2²) ^.(2³)

a)

2⁶

b)

6⁶

c)

2⁵

d)

6⁵

50.

a⁶⋅ a⁴

a)

a⁶⁴

b)

a²⁴

c)

a¹⁰

51.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

52.

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

a)

add

b)

subtract

c)

multiply

d)

divide

53.

7⁰

a)

7¹

b)

0¹

c)

1

d)

7

54.

a)

x^1/2

b)

x³

c)

x²

d)

x^-2

55.

a)

$3^3$

b)

$3^{13}$

c)

$3^{40}$

d)

$1^3$

56.

(3⁴) ^. (3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

57.

a)

x^2.75

b)

x⁴⁴

c)

x¹⁵

d)

x⁷

58.

(x⁸) ^. (x⁵)

a)

x^-40

b)

x^-13

c)

x³

d)

x¹³

59.

(2) ^.(2²) ^.(2³)

a)

2⁶

b)

6⁶

c)

2⁵

d)

6⁵

60.

a⁶⋅ a⁴

a)

a⁶⁴

b)

a²⁴

c)

a¹⁰

Exponents- Multiplication Rule

Total questions: 60

Worksheet time: 3hrs 36mins

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