Free Printable Exponent Rules Review

1.

When using the Power to a Power rule, what are you supposed to do with the exponents? ex. $\left(x^9\right)^{12}$

a)

Add the exponents.

b)

Multiply the exponents.

c)

Subtract the exponents.

d)

Make it $12x^9$

2.

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.

\frac{\text{}y^6}{\text{}y^3}

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

3.

Simplify: x²⋅ x⁵

a)

x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x ⋅ x

b)

x⁷

c)

x¹⁰

d)

x ⋅ x

4.

Simplify: 3x³ ⋅ 3x

a)

3²x⁴

b)

3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x

c)

9x⁴

d)

3x⁴

5.

Simplify: (6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

6.

Simplify: (2x⁴y⁵)(-3x²y⁷)

a)

6x⁶y¹²

b)

-1x⁶y^-2

c)

-6x²y²

d)

-6x⁶y¹²

7.

4⁰

a)

0

b)

1

c)

4

d)

-4

8.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

9.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

10.

$\frac{3x^2}{7x^2}$

a)

$\frac{3x}{7x}$

b)

$\frac{3}{7}$

c)

$\frac{3^2}{7^2}$

d)

$0.4285$

11.

$\left(3x\right)^3$

a)

$9x^3$

b)

$x^3$

c)

$27x^3$

d)

$6x^3$

12.

$\frac{7a^2}{3a}$

a)

$\frac{7a}{3a}$

b)

$\frac{7a}{3}$

c)

$\frac{7a^2}{3}$

d)

$\frac{3}{7a}$

13.

$\frac{5r^3}{8r}$

a)

$\frac{5r^2}{8}$

b)

$\frac{5}{8}$

c)

$5r^2$

d)

$\frac{5}{8r}$

14.

Using exponents, simplify the following expression

a)

x^-7

b)

1/x⁷

c)

x⁷

d)

x^-9

15.

Simplify the expression

a)

x⁵

b)

1/x⁵

c)

x¹³

d)

1/x¹³

16.

Simplify the expression

a)

x²/2

b)

2/x¹⁴

c)

2x¹⁴

d)

2/x²

17.

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

18.

True or False?
10³= 30

a)

true

b)

false

19.

Which number is the base? $2^7=128$

a)

2

b)

7

c)

128

d)

$2^7$

20.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

21.

8⁰ = 0

a)

True

b)

False

22.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

23.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

24.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

25.

Select the equivalent expression
(h²j³)⁵

a)

hj³⁰

b)

h⁷j⁸

c)

h¹⁰j¹⁵

d)

h²j¹⁵

Exponent Rules Review

Total questions: 25

Worksheet time: 1hrs 11mins

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