Free Printable Exponent Rules

1.

Which expression is equivalent to
x³ / x⁵ ?

a)

x²

b)

x⁸

c)

2x²

d)

1 / x²

2.

Which expression is equivalent to
a⁻³ ?

a)

a

b)

1 / a³

c)

1/a⁻³

d)

−a³

3.

Which expression is equivalent to
4⁻² ?

a)

1/16

b)

16

c)

1/4⁻²

d)

8

4.

Which expression is equivalent to
(−2)⁰ ?

a)

1

b)

−2

c)

0

d)

2

5.

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

a)

add

b)

subtract

c)

multiply

d)

divide

6.

Which expression is equivalent to
(5³)⁴ ?

a)

5⁷

b)

1/5

c)

5¹²

d)

20³

7.

Which expression is not equivalent to
9⁻¹

a)

1/9

b)

9⁻⁵⋅ 9⁴

c)

−9

d)

9¹²/9¹³

8.

Which expression is equivalent to
2⁵⋅ 2⁻⁸

a)

2⁵− 2⁸

b)

2⁵+ 2⁸

c)

2⁻⁵ ⋅ 2⁸

d)

2⁴ / 2⁷

9.

Which expression is equal to
(4³)⁻⁵

a)

1 / (4¹⁰ ⋅ 4⁵)

b)

−5(4³)

c)

(4³)(4³)(4³)(4³)(4³)

d)

4⁻²

10.

Which expression is equivalent to
7⁸ / 7³?

a)

7³/ 7⁸

b)

1/7⁵

c)

49

d)

7²⋅ 7³

11.

Which expression is equivalent to 1,000,000,000⁰

a)

−1,000,000,000

b)

1

c)

1,000,000,000

d)

0

12.

Which expression is equivalent to
(3²)⁴⋅ (3⁻¹)⁵

a)

3

b)

9

c)

27

d)

1/3

13.

True or False:

a)

True

b)

False

14.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

15.

Simplify the expression.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

16.

Simplify the expression.

a)

1²²

b)

1³⁰

c)

6²²

d)

6³⁰

17.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

18.

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

a)

multiply

b)

add

c)

subtract

d)

divide

19.

True or False?

a)

True

b)

False

20.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

21.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

22.

$3^7\cdot3^7$

a)

$9^{49}$

b)

$3^{14}$

c)

$3^{49}$

d)

$9^{14}$

23.

Simplify: $10x^8\cdot9x$

a)

$90x^8$

b)

$19x^9$

c)

$90x^9$

d)

$19x^9$

24.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

25.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

26.

Simplify: $\left(2m\right)^5$

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

$\frac{1}{2m^5}$

27.

$5^3$ $\times$ $5^9$

a)

$5^{27}$

b)

$5^{12}$

c)

$5^6$

d)

$\frac{1}{5^{12}}$

28.

$8^0$

a)

$\frac{1}{8}$

b)

8

c)

1

d)

0

29.

$2^{-6}$

a)

$\frac{1}{2^6}$

b)

-4

c)

-12

d)

$\frac{1}{2}$

30.

Using exponents, simplify the following expression:

$x^{-3}\cdot x^6\cdot x^{-3}$

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

Exponent Rules

Total questions: 30

Worksheet time: 8hrs 30mins

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