Free Printable Module 8 Review

1.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

2.

Simplify √60

a)

2√15

b)

12

c)

4√15

d)

3√5

3.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

4.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

5.

Simplify.
(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

a)

x¹⁹y¹²z⁹

b)

x¹⁹ y¹⁴z⁹

c)

x¹³y¹⁰z⁹

d)

x²³y⁴²z¹¹

6.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

7.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

8.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

9.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

10.

Simplify:

a)

2

b)

4

c)

16

d)

64

11.

Simplify.
$y^{-2}$

a)

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

b)

$\frac{y}{2}$

c)

$\frac{2}{y}$

d)

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

12.

Simplify.
$4y^{-4}$

a)

$\frac{4}{y^4}$

b)

$\frac{4}{y}$

c)

$\frac{y^4}{4}$

d)

$\frac{1}{4y^4}$

13.

Simplify.
$x^{-3}y^0$

a)

$\frac{y}{x^3}$

b)

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

c)

$\frac{x}{y}$

d)

$\frac{1}{3y}$

14.

Simplify.
$3x^{-3}y^0$

a)

$\frac{3x^3}{y}$

b)

$\frac{y}{3x^3}$

c)

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

d)

$x^3$

15.

Simplify

a)

$-\frac{1}{16}$

b)

$\frac{1}{16}$

c)

-16

d)

16

16.

Simplify

a)

$\frac{5}{4}$

b)

$\frac{4}{5}$

c)

$-\frac{4}{5}$

d)

$-\frac{5}{4}$

17.

Simplify

a)

$-\frac{1}{27}$

b)

$\frac{1}{27}$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

18.

What number, n, cubed is equal to 64?

n³ = 64

a)

4

b)

2

c)

8

d)

262,144

19.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

20.

∛125

a)

5

b)

4

c)

6

d)

7

21.

∛216

a)

6

b)

72

c)

108

d)

4

22.

Rewrite using a positive exponent.

w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

23.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a⁹b⁶c³

24.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-5

d)

7b³ /a⁵

25.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

Module 8 Review

Total questions: 25

Worksheet time: 47mins

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