Free Printable Review of Exponent Rules

1.

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

a)

f¹⁶

b)

f⁴

c)

1/f⁴

d)

1/f¹⁶

2.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

3.

Simplify the following expression:

(-12)⁰

a)

-1

b)

1

c)

12

d)

-12

4.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

5.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

6.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

7.

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

a)

add

b)

subtract

c)

multiply

d)

divide

8.

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

a)

add

b)

subtract

c)

multiply

d)

divide

9.

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

a)

add

b)

subtract

c)

multiply

d)

divide

10.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

11.

Simplify: $x^{-6}$

a)

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

b)

$x^6$

c)

$-x^6$

d)

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

12.

What is the missing exponent that will make the equation true?

$\frac{8^{12}}{8^?}=8^4$

a)

8

b)

3

c)

16

d)

9

13.

Simplify
m⁵⋅m²

a)

m⁷

b)

m³

c)

m¹⁰

d)

m²

14.

Simplify
(y³)⁵

a)

y¹⁵

b)

y⁸

c)

y⁻²

d)

y

15.

Simplify:

(2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

16.

Simplify:

$\frac{x^5y^3}{xy^2}$

a)

$x^4y$

b)

$x^5y$

c)

$x^6y^5$

d)

$x^4y^5$

17.

Simplify:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

18.

Can you leave a negative exponent in your answer?

a)

YES

b)

NO

19.

What is the missing exponent that will make the equation true?

$x^2\cdot x^?\ =\ x^{10}$

a)

8

b)

5

c)

20

d)

12

20.

SELECT ALL of the following expressions that are equivalent to:

$m^{-3}$

a)

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

b)

$-\frac{1}{m^3}$

c)

$-m^3$

d)

$\frac{1}{m\cdot m\cdot m}$

e)

$\frac{1}{m}\cdot\frac{1}{m}\cdot\frac{1}{m}$

Review of Exponent Rules

Total questions: 20

Worksheet time: 58mins

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