Free Printable Exponent Laws

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

4.

How would you change this to a positive exponent:
1/x^-3

a)

1/x³

b)

x³

c)

3x

d)

1/3x

5.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

6.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

7.

3⁻⁴

a)

1 ⁄ 3⁴

b)

-3⁴

c)

3⁴

d)

1 ⁄ 12

8.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

9.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

10.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

11.

Rewrite using a positive exponent.

w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

12.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-5

d)

7b³ /a⁵

13.

(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

14.

Simplify:

(-4)³ * (-4)⁵

a)

-4⁸

b)

(-4)⁸

c)

16⁸

d)

(-4)²

15.

Simplify

a)

-6c

b)

6c⁵

c)

15c⁵

d)

15c

16.

Simplify the following expression:

a)

18x²⁵

b)

9x¹⁰

c)

1

d)

18x¹⁰

17.

Which of the following are equivalent to the expression 6^-3(2 answers)

a)

1/6³

b)

6³

c)

1/216

d)

216

18.

Evaluate

3^{-3}

a)

$\frac{1}{9}$

b)

27

c)

$\frac{1}{27}$

d)

$-\frac{1}{27}$

19.

Evaluate

3^4\times3^2

a)

729

b)

72

c)

18

d)

6561

20.

Evaluate

\frac{2^4}{2^6}

a)

4

b)

$\frac{1}{4}$

c)

$-\frac{1}{4}$

d)

-4

21.

Evaluate

3^4\cdot3^{-5}

a)

$\frac{1}{3}$

b)

-3

c)

3

d)

$-\frac{1}{3}$

22.

Evalute:

4^6\div4^3

a)

64

b)

12

c)

16

d)

$\frac{1}{64}$

23.

Select all answers that are equal to

\frac{1}{4}

a)

$4^{-1}$

b)

$2^4\cdot2^{-6}$

c)

$4^{-2}\cdot4^3$

d)

$\frac{2^3}{2^5}$

e)

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

24.

Evaluate

5^{-3}\cdot5^2

a)

-5

b)

$-\frac{1}{5}$

c)

5

d)

$\frac{1}{5}$

25.

Evaluate

3^8\div3^5

a)

27

b)

1

c)

9

d)

3

26.

Evaluate

\frac{3^{-3}}{3^{-6}}

a)

$\frac{1}{27}$

b)

$27$

c)

$-\frac{1}{27}$

d)

$-27$

27.

Write the exponent form of this expression: n⋅n⋅n⋅s⋅s⋅s⋅2⋅2=

a)

2²⋅n³⋅s³

b)

2²ns⁶

c)

4(3n)(3s)

28.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

29.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

30.

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

a)

10x⁴y⁷

b)

7x⁴y⁷

c)

10x³y¹⁰

d)

7x³y¹⁰

31.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

32.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

33.

Simplify the following expression:

x¹⁸y¹⁵ / x⁶y³

a)

x³y⁵

b)

x¹²y¹²

c)

x²⁴y¹⁸

d)

x¹⁰⁸y⁴⁵

34.

Simplify the following expression:

(x³y) ÷ (xy⁵)

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

35.

Simplify the following expression:

a⁴ ÷ a¹²

a)

a³

b)

a¹⁶

c)

1/a³

d)

1/a⁸

36.

$\frac{w^4y^6x^2}{w^2y^3x}$ Simplify this expression

a)

$w^6y^9x^3$

b)

$w^2y^3x$

c)

4-3-1

d)

wxy

37.

a)

3x^-1y^-5

b)

3x²y

c)

3xy⁵

d)

-3x³y⁷

38.

$\frac{18x^{10}}{2x^3}$ Hint: divide coefficients

a)

$9x^7$

b)

$9x^{13}$

c)

$18x^7$

d)

$2x^{13}$

39.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

40.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

Exponent Laws

Total questions: 40

Worksheet time: 2hrs 47mins

Similar Resources on Wayground