Free Printable Basic Exponent Rules

1.

Solve using the product law of exponents

Resolver utilizando la ley de productos de los exponentes

(5⁵)(5³)

a)

25⁸

b)

5¹⁵

c)

25¹⁵

d)

5⁸

2.

Solve using the product law of exponents.

(Espanol) Resolver utilizando la ley de productos de los exponentes.

(10¹²)(10⁴)

a)

10¹⁶

b)

10⁴⁸

c)

100¹⁶

d)

100⁴⁸

3.

Simplify.

Simplificar.

(x⁴) (x)

a)

2x⁴

b)

x

c)

x⁵

d)

x⁴

4.

Evaluate and leave answer as an exponent.

Evaluar y dejar la respuesta como exponente.

4⁸(4⁸)(4^-5)

a)

64¹¹

b)

4¹¹

c)

64²¹

d)

4^-21

5.

Use the product law to solve.

Utilice la ley de productos para resolver.

(7^-17)(7^-24)

a)

7 ^-7

b)

49⁶⁹⁷

c)

7 ^-41

d)

49 ^-41

6.

Simplify

w⁵(w^x)w⁷

a)

w^35x

b)

w¹³

c)

w^12x

d)

w^{12 + x}

7.

Solve.

Resolver.

(y⁶)(y^-11)

a)

y^-66

b)

y^-5

c)

y⁵

d)

y¹⁷

8.

Solve using the product law of exponents and simplify your answer.

Resolver utilizando la ley de productos de los exponentes y simplifica tu respuesta.

(m)(m⁶)(m^-2)

a)

m^-12

b)

m⁵

c)

m⁴

d)

m⁹

9.

Solve and leave answer as exponent.

Resolver y dejar la respuesta como exponente.

9^-13(9³)9^-1(9¹³)

a)

9²

b)

9^-2

c)

9^-30

d)

6561⁵⁰⁷

10.

Solve and leave answer as exponent.

Resolver y dejar la respuesta como exponente.

(8ⁿ)(8²)

a)

64²ⁿ

b)

8^{(2 + n)}

c)

8³

d)

8²ⁿ

11.

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

a)

True

b)

False

12.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

13.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

14.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

15.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

16.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

17.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

19.

a)

b)

c)

d)

20.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

24.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

25.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

26.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

27.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

28.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

29.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

30.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

31.

$10\times10\times10\times10\times10=$

a)

$10\times5$

b)

$10^5$

32.

$10^3=$

a)

$10\times10\times10$

b)

$10\times3$

c)

$10+10+10$

d)

10,000

33.

Which number is the BASE? $2^7$ =128

a)

2

b)

7

c)

128

d)

$2^7$

34.

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

a)

0

b)

1

35.

$y^0=$

a)

y

b)

0

c)

1

d)

10

36.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

37.

$x^{-5}$ =

a)

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

b)

$\frac{1}{x^5}$

c)

$\frac{x^5}{1}$

d)

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

38.

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

a)

$x^{12\ }$

b)

$x^{-1}$

c)

$x^7$

d)

$x^{34}$

39.

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

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

40.

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

a)

$x^6$

b)

$x^{12}$

c)

$x^{-42}$

d)

$x^{-12}$

41.

$\frac{x^9}{x^4}$ =

a)

$x^{13}$

b)

$x^{36}$

c)

$x^5$

d)

$x^{-5}$

42.

$\frac{x^{17}}{x^8}$

a)

$x^9$

b)

$x^{25}$

c)

$x^{-9}$

d)

$x^{-25}$

43.

$\frac{9x^2}{3x^{ }}=$

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

44.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

45.

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

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

46.

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

a)

$x^{14}$

b)

$x^9$

c)

$x^5$

d)

$2x^7$

47.

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

a)

$a^3b^{35}$

b)

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

c)

$a^8b^8$

d)

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

48.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

49.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

50.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

51.

What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

52.

2⁵ is the same as 2 x 5.

a)

True

b)

False

53.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

54.

The exponent equivalent of 20 x 20 x 20 is

a)

20 x 3

b)

20³

c)

3²⁰

55.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

56.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

57.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

58.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

59.

Find the equivalent expression.
15×15×15×15

a)

15⁴

b)

4¹⁵

c)

15x4

d)

15+15+15+15

60.

Find the equivalent expression.

9 x 9 x 9

a)

9³

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

61.

In the exponent 3⁴, the 3 represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

62.

What is the power to this problem?

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

a)

9 to the 7th power

b)

6 to the 8th power

c)

6 to the 9th power

d)

10 to the 5th power

63.

2⁵ is the same as 2 x 5.

a)

True

b)

False

64.

Write each product using an exponent.

4 x 4

a)

4²

b)

5⁴

c)

4⁶

d)

4⁶

65.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

66.

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

a)

squared

b)

cubed

c)

triangled

d)

boxed

67.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

Basic Exponent Rules

Total questions: 67

Worksheet time: 51mins

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