Free Printable Algebra 1P Chapter 7 Rational Exponents

1.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

2.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

3.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

4.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

5.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

6.

Simplify:

a)

2

b)

8

c)

16

d)

32

7.

Simplify: $\left(\sqrt[4]{81}\right)^5$

a)

45

b)

729

c)

15

d)

243

8.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

9.

Simplify:

a)

2

b)

4

c)

16

d)

64

10.

Re-write the expression in radical form.
x^2/3

a)

∛x²

b)

√x³

c)

(1/x)

d)

∛x

11.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

12.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

13.

Evaluate without a calculator.

a)

A

b)

B

c)

C

d)

D

14.

$8^{\frac{2}{3}\ }$ is the same as

a)

$\ ^3\sqrt{8^2}\ \ \$ so the answer is 4

b)

$8\ \times\frac{2}{3}\ \$ so the answer is $\frac{16}{3}$

c)

$\ \sqrt{8^3}\ \ \$ so the answer is $\sqrt{512}$

d)

$\ ^3\sqrt{8}\ \ \$ so the answer is 2

15.

$\ ^3\sqrt{125^2}\ \$ is the same as

a)

$125^{\frac{3}{2}}\ \ \$ so the value is 25

b)

$125^{\frac{2}{3}\ \ }\$ so the value is 25

c)

$125^{\frac{2}{3}}\ \ \$ so the value is 5

d)

$125^{\frac{3}{2}}\ \ \$ so the value is 5

16.

Simplify:

a)

∛121

b)

121

c)

√11

d)

1331

17.

Simplify: ∜(16c⁵d⁸)

a)

2cd(∜c)

b)

2cd²(∜c)

c)

4cd²(∜c)

d)

4cd²

18.

(x^2/3)⁴

a)

x^8/3

b)

x^8/12

c)

x⁸

d)

x³

19.

Simplify writing your answer with a positive exponent

a)

b)

c)

d)

20.

$\sqrt{48^3x^6y^2}$

Rewrite

a)

$48^{\frac{2}{3}}x^4y$

b)

$48^{\frac{3}{2}}x^3y$

c)

$48^{\frac{3}{2}}x^4y^0$

d)

None are correctly rewritten

Algebra 1P Chapter 7 Rational Exponents

Total questions: 20

Worksheet time: 40mins

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