Free Printable Law of Exponents

1.

Solve : $8^2$

a)

82

b)

64

c)

16

d)

28

2.

Simplify: $c^2\cdot c^3$

a)

$6^6$

b)

$c^{-6}$

c)

$c^9$

d)

$c^6$

3.

Solve: $3^0$

a)

1

b)

0

c)

3

d)

1/3

4.

Solve: $v^2\cdot v^0$

a)

0

b)

1

c)

$v^2$

d)

$v^0$

5.

Simplify the expression: $\frac{6^8}{6^6}$

a)

$6^{-2}$

b)

$\frac{48}{36}$

c)

$6^2$

d)

$\frac{14}{12}$

6.

Simplify : $7^{-6}$

a)

$-7^6$

b)

$-7^{-6}$

c)

$\frac{1}{7^{-6}}$

d)

$\frac{1}{7^6}$

7.

$32^1$ Simplify

a)

32

b)

0

c)

$\frac{1}{32}$

d)

1

8.

$\frac{5^9}{5^4}$ Simplify the expression:

a)

$5^{14}$

b)

$5^5$

c)

$\frac{45}{20}$

d)

$\frac{9}{4}$

9.

$\left(4^2\right)^3$

a)

$4^{-1}$

b)

$24$

c)

$4^6$

d)

$4^{-6}$

10.

$\left(xy\right)^4=x^4y^4$ Is it true

a)

Yes

b)

No

11.

$\left(qw\right)^7$ Which is another way to write

a)

$q^7w^7$

b)

$7q7w$

c)

$qw^{-7}$

d)

$q^7w^{-1}$

12.

$4^2\cdot4^6\cdot4^3$ Simplify:

a)

$4^{36}$

b)

$64^{36}$

c)

$64^{11}$

d)

$4^{11}$

13.

This is another way of writing $\frac{1}{y^6}$

a)

$-y^6$

b)

$-y^{-6}$

c)

$y^{-6}$

d)

$\frac{1}{y^{-6}}$

14.

$b\cdot b^7$

Simplify the expression

a)

$b^6$

b)

$b^8$

c)

$b^{-7}$

d)

$b^{-6}$

15.

$\frac{a^3}{a^5}$

Simplify

a)

$a^3$

b)

$a^2$

c)

$\frac{1}{a^3}$

d)

$\frac{1}{a^2}$

16.

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

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

17.

13⁰

a)

1

b)

2

c)

3

d)

4

18.

What is the exponential form of
4 x 4 x 4 x 4 x 4 x 4

a)

6⁴

b)

4²

c)

4⁶

d)

4 x 6

19.

x^-3

a)

-3x

b)

x³

c)

1/ x^-3

d)

1/ x³

20.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

21.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

22.

(x^-3)²

a)

x⁶

b)

1/x⁵

c)

1/x⁶

d)

x⁵

23.

(5²)³

a)

3,125

b)

15,625

c)

1/5

d)

5

24.

(x³)(x²)

a)

x^-5

b)

x^-6

c)

x⁶

d)

x⁵

25.

(x³y)⁶

a)

2x¹⁸y⁶

b)

x¹⁸y⁶

c)

x³y⁶

d)

x³y⁶

26.

(x⁸)(x⁵)

a)

X³

b)

X⁴⁰

c)

X¹³

27.

(5²)³

a)

5⁵

b)

125⁶

c)

5⁶

28.

3^-4

a)

1/81

b)

-12

c)

81

29.

8⁵/8²

a)

8⁷

b)

1³

c)

8³

30.

27⁰

a)

1

b)

0

c)

27

31.

(2x⁴y⁵)³

a)

4x¹²y¹⁵

b)

4x⁷y⁸

c)

8x¹²y¹⁵

32.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

33.

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

a)

add

b)

subtract

c)

multiply

d)

divide

34.

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

a)

add

b)

subtract

c)

multiply

d)

divide

35.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

36.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

37.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

38.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

39.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

40.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

41.

Simplify:
x⁵÷ x²

a)

x⁷

b)

x³

c)

x¹⁰

d)

x^2.5

42.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

43.

(3³)(3⁴)

a)

3⁷

b)

3¹²

c)

9⁷

44.

(5²)³

a)

5⁵

b)

125⁶

c)

5⁶

45.

(x⁴)^-2

a)

1/x

b)

x^-6

c)

1/x⁸

46.

Expand x⁵

a)

x⋅x⋅x⋅x⋅x

b)

1/x⋅x⋅x⋅x⋅x

c)

x⁵

d)

5

47.

2⁵ is the same as 2 x 5.

a)

True

b)

False

48.

$\frac{12x^5}{4x^2}$

a)

$3x$

b)

$3x^7$

c)

$3x^3$

Law of Exponents

Total questions: 48

Worksheet time: 4hrs 0mins

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