Free Printable Exponent Laws

1.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

2.

What is the value of:
(2³)³

a)

1

b)

4

c)

64

d)

512

3.

What is the value of:
z⁰

a)

z²

b)

z

c)

0

d)

1

4.

Simplify the following:
x^-3

a)

1/x^-3

b)

x³

c)

1/x

d)

1/x³

5.

Simplify the following:
x²x³

a)

x³

b)

x²

c)

x⁶

d)

X⁵

6.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

7.

Simplify:
9³⋅ 9^{4 =}9¹²

a)

True

b)

False

8.

What is the value of:
(3/4)⁰

a)

1

b)

0

c)

3/4

d)

3/16

9.

What is the value of:
4^-2

a)

1/4

b)

1/16

c)

16

d)

4

10.

3.) Simplify
(45x⁶y²) / (5x⁴y⁹)

a)

(9x²)/y⁷

b)

40x²y⁷

c)

9x²y⁷

d)

9x¹⁰y¹¹

11.

Select the equivalent expression
(h²j³)⁵

a)

hj³⁰

b)

h⁷j⁸

c)

h¹⁰j¹⁵

d)

h²j¹⁵

12.

Simplify:
(-4r³s⁵)⁰ (3b⁴c²d)

a)

1

b)

-12b⁴c²d

c)

3b⁴c²d

d)

0

13.

Simplify:
(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

14.

Simplify:
(a⁴b¹⁹c²¹d^-14)⁰

a)

1

b)

0

c)

a⁴b¹⁹c²¹d^-14

d)

a^-4b^-19c^-21d¹⁴

15.

Simplify:
(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

16.

Simplify:
(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

17.

Simplify:
8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

18.

Simplify:
x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

19.

Simplify:
6x⁵y² /2x⁴y²

a)

3xy

b)

4x

c)

3x

d)

4xy

20.

Which answer is the given expression fully simplified?

a)

32q⁷/w

b)

20q¹⁷w⁹

c)

32q⁷w⁹

d)

20qw

21.

The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

a)

9x³y²

b)

48x⁶y⁴

c)

9x⁶y⁴

d)

60x¹²y¹²

22.

The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

a)

n = 20

b)

n = -14

c)

n = -51

d)

n = 14

23.

Which expression is equivalent to (7x³)²(x⁸)^1/2?

a)

14x¹⁰

b)

49x¹⁰

c)

14x⁷

d)

49x⁷

24.

Which expression is equivalent to the given expression?

a)

b)

c)

d)

25.

Which expression is equivalent to the following expression?

(13x²y^-7z⁴)⁰

a)

x²z⁴/y⁷

b)

13x²z⁴/y⁷

c)

13

d)

1

26.

Simplify the expression (ab⁴)(2ab⁴)^-3

a)

b)

c)

d)

27.

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

a)

add

b)

subtract

c)

multiply

d)

divide

28.

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

a)

add

b)

subtract

c)

multiply

d)

divide

29.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

30.

Evaluate $3v^2\cdot5v^{-3}$

a)

$\frac{15}{v}$

b)

$20v$

c)

$20v^5$

d)

$15v^5$

31.

Evaluate $5x^4\cdot4x^5$

a)

$\frac{4}{x^2}$

b)

4

c)

$20x^9$

d)

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

32.

Simplify $\frac{6x^{-5}}{5x^6}$

a)

$\frac{3}{2x^4}$

b)

$\frac{6}{5x^{11}}$

c)

$\frac{1}{2x^3}$

d)

$\frac{6x^2}{5}$

33.

Simplify $\left(2p^3\right)^{-3}$

a)

$16p^{10}$

b)

$\frac{1}{8p^9}$

c)

$\frac{8}{p^9}$

d)

$243p^{10}$

34.

a)

b)

c)

d)

35.

a)

b)

c)

d)

Exponent Laws

Total questions: 35

Worksheet time: 3hrs 55mins

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