Free Printable A1H Fractional Exp

1.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

2.

What is the value of 27^⅓?

a)

27

b)

9

c)

3

d)

1/3

3.

How else can you write $\sqrt{x}$ ?

a)

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

b)

$x^2$

c)

$x^{-2}$

d)

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

4.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

5.

Which of the following is equivalent to the expression $\frac{1}{2x^7}$ ?

a)

$\left(2x\right)^{-7}$

b)

$\frac{1}{2}x^7$

c)

$\frac{1}{2}x^{-7}$

d)

$2x^{-7}$

6.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

7.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

8.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

9.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

10.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

11.

Choose the correct answers.

a)

A

b)

B

c)

C

d)

D

12.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

13.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

14.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

15.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

16.

Which radical expression is equivalent to $x^{\frac{1}{8}}$

a)

b)

c)

d)

17.

Which exponential expression is equivalent to

a)

b)

c)

d)

18.

a)

b)

c)

d)

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

a)

b)

c)

d)

24.

What is the value of the index?

a)

$\frac{1}{8}$

b)

$8$

c)

$5$

d)

$\frac{5}{8}$

25.

What is the value of the power?

a)

$\frac{1}{9}$

b)

$9$

c)

$-1$

d)

$1$

e)

$-\frac{1}{9}$

26.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

27.

$\sqrt{ }$ has an imaginary index of ___.

a)

1

b)

0

c)

2

28.

Rewrite the following

∛x⁵

a)

x^3/5

b)

x^5/3

c)

x²

d)

x³⋅x⁵

29.

Which expression with a fractional exponent best represents √7 ?

a)

7^½

b)

7¼

c)

7⅓

d)

2⁷

30.

Which is equivalent to $\sqrt[3]{v}$ ?

a)

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

b)

$v^3$

c)

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

d)

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

31.

Which is equivalent to $\frac{1}{\sqrt[4]{r^5}}$ ?

a)

$^{r^{\frac{4}{5}}}$

b)

$r^{\frac{5}{4}}$

c)

$^{r^{-\frac{4}{5}}}$

d)

$^{r^{-\frac{5}{4}}}$

32.

Solve for x. $2x^{\frac{5}{4}}+10=74$

a)

$x=4$

b)

$x=12$

c)

$x=16$

d)

$x=20$

33.

Solve for k. $k^{\frac{3}{5}}=27$

a)

$k=3$

b)

$x=9$

c)

$x=81$

d)

$x=243$

34.

Which is equivalent to $\sqrt[4]{x^7}$

a)

$x^{-\frac{4}{7}}$

b)

$x^{\frac{4}{7}}$

c)

$x^{\frac{7}{4}}$

d)

$x^{-\frac{7}{4}}$

35.

Solve for x. $3\left(x-1\right)^{\frac{1}{3}}-9=6$

a)

$x=0$

b)

$x=9$

c)

$x=126$

d)

$x=1332$

36.

$3125=\left(-1-18p\right)^{\frac{5}{3}}$

a)

$p=-7$

b)

$p=7$

c)

$p=21$

d)

$p=-21$

37.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

38.

Which of the following is equivalent to the expression $\frac{1}{\left(2x\right)^7}$ ?

a)

$\left(2x\right)^{-7}$

b)

$\frac{1}{2}x^7$

c)

$\frac{1}{2}x^{-7}$

d)

$2x^{-7}$

39.

Which expression with a fractional exponent best represents √7 ?

a)

$7^{\frac{1}{2}}$

b)

$7^{\frac{1}{4}}$

c)

$7^{\frac{1}{3}}$

d)

$2^7$

40.

How else can you write $\sqrt{x}$ ?

a)

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

b)

$x^2$

c)

$x^{-2}$

d)

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

41.

Which radical expression is equivalent to $x^{\frac{1}{8}}$

a)

$\frac{1}{\sqrt[8]{x}}$

b)

$\frac{1}{^{\left(\sqrt[]{x^{ }}\right)^8}}$

c)

$\sqrt[\frac{1}{8}]{x}$

d)

$\sqrt[8]{x}$

42.

Which exponential expression is equal to $\sqrt[7]{b}$ ?

a)

$b^{-\frac{1}{7}}$

b)

$\frac{1}{b^7}$

c)

$b^{\frac{1}{7}}$

d)

$b^7$

43.

$\sqrt{ }$ has an imaginary index of ___.

a)

1

b)

0

c)

2

44.

Which of the following is equivalent to the expression $\frac{1}{2x^7}$ ?

a)

$\left(2x\right)^{-7}$

b)

$\frac{1}{2}x^7$

c)

$\frac{1}{2}x^{-7}$

d)

$2x^{-7}$

45.

How else can you write $\sqrt{x}$ ?

a)

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

b)

$x^2$

c)

$x^{-2}$

d)

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

46.

9^1/2

a)

4 1/2

b)

3

c)

-3

d)

1/3

e)

-1/3

47.

(8)^1/3

a)

-2

b)

4

c)

8/3

d)

2

48.

Write as a radical expression
y¹⁄ ³

a)

∛y

b)

y³

c)

√y

d)

1∕ 3y

49.

$\left(\frac{125}{64}\right)^{\frac{4}{3}}=$

a)

$\left(^3\sqrt{\frac{125}{64}}\right)^4$

b)

$\left(^4\sqrt{\frac{125}{64}}\right)^3$

50.

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

a)

(∛x)²

b)

√x³

c)

(1/x)

d)

∛x

51.

Which expression with a fractional exponent best represents √7 ?

a)

7^½

b)

7¼

c)

7⅓

d)

2⁷

52.

Rewrite in Exponential Form.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

Rewrite in radical form.

a)

A

b)

B

c)

C

d)

D

56.

.

a)

A

b)

B

c)

C

d)

D

57.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

58.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

59.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

60.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

61.

How else can you write $\sqrt{x}$ ?

a)

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

b)

$x^2$

c)

$x^{-2}$

d)

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

62.

1000^⅓is the same as the cube root of 1000 =

a)

10

b)

333

c)

300

d)

100

63.

64^⅓=

a)

4

b)

8

c)

6

d)

21.3

64.

Evaluate

a)

3

b)

18

c)

9

d)

6

65.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

66.

4^-½=

a)

2

b)

-2

c)

½

d)

-½

67.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

68.

Which of the following is equivalent to the expression $\frac{1}{2x^7}$ ?

a)

$\left(2x\right)^{-7}$

b)

$\frac{1}{2}x^7$

c)

$\frac{1}{2}x^{-7}$

d)

$2x^{-7}$

69.

\frac{2}{x^3}=?

a)

$2x^3$

b)

$2x^{-3}$

c)

$8x^3$

d)

$8x^{-3}$

70.

Simplify fully $x^5\times x^{-2}=?$

a)

$x^3$

b)

$x^7$

c)

$x^{10}$

d)

$x^{-10}$

71.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

72.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

73.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

74.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

75.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

76.

a)

b)

c)

d)

77.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

78.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

79.

Write the product using exponents: (-2) ⋅ (-2) ⋅ (-2) ⋅ x ⋅ x

a)

(-2)³ ⋅ x²

b)

-(2³ ⋅ x²)

c)

-2³ ⋅ x²

d)

8x²

80.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

A1H Fractional Exp

Total questions: 80

Worksheet time: 7hrs 40mins

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