Free Printable Ratioan and Negative Exponents Quiz

1.

Simplify:

a)

A

b)

B

c)

C

d)

D

2.

SimplifY

a)

A

b)

B

c)

C

d)

D

3.

Simplify

a)

A

b)

B

c)

C

d)

D

4.

Simplify

a)

A

b)

B

c)

C

d)

D

5.

SimplifY

a)

A

b)

B

c)

C

d)

D

6.

Simplify

a)

A

b)

B

c)

C

d)

D

7.

Simplify:

a)

A

b)

B

c)

C

d)

D

8.

Simplify

a)

A

b)

B

c)

C

d)

D

9.

Simplify

a)

A

b)

B

c)

C

d)

D

10.

Simplify

a)

A

b)

B

c)

C

d)

D

11.

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

a)

-8

b)

-6

c)

6

d)

8

12.

5^-2

a)

1/25

b)

1/5²

13.

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

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

14.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

15.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

16.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

17.

Rewrite each expression with a negative exponent.
¹/_(-5)⁷

a)

(-5)⁷

b)

¹/_(-5)^-7

c)

(-5)^-7

d)

¹/_78,125

18.

Rewrite each expression with a negative exponent.
¹/₁₂₅

a)

¹/_5³

b)

5³

c)

5^-3

d)

¹/_5-3

19.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

20.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

21.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

22.

Write the expression in radical form.

x^3/4

a)

∜x³

b)

∛x⁴

c)

x^.75

d)

√x²

23.

Write in exponential form

∛x⁷

a)

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

b)

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

c)

3x⁷

d)

7x³

24.

a)

7³

b)

7

c)

7^3/4

d)

7^4/3

25.

Exponent Rules: RATIONAL EXPONENT

a^{\frac{x}{y}}=

a)

$\ ^y\sqrt{a^x}$

b)

$a^x-a^y$

c)

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

26.

$\left(x^{\frac{1}{2}}y^{\frac{1}{4}}z^{\frac{1}{3}}\right)^{12}\ =$

Simplify the following:

a)

$x^{12.5}y^{12.25}z^{12.33}$

b)

$12\left(x^{\frac{1}{2}}y^{\frac{1}{4}}z^{\frac{1}{3}}\right)$

c)

$x^6y^3z^4$

27.

Simplify: $8^{\frac{2}{3}}$

a)

4

b)

2

c)

8

d)

$\frac{16}{3}$

28.

Simplify the following: $\left(x^2y\right)^3\sqrt{y^4}$

a)

$x^5y^6$

b)

$x^5y^5$

c)

$x^6y^6$

d)

$x^6y^5$

29.

$\left(8x^9\right)^{\frac{2}{3}}$

a)

$22x^{\frac{27}{2}}$

b)

$8x^6$

c)

$4x^6$

d)

$x^6$

30.

Write the expression in exponential form:
∛(2x)²

a)

(2x)^2/3

b)

2x^2/3

c)

2x^3/2

d)

(2x)^3/2

31.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

32.

Match each expression to it's radical form:

a)

$\sqrt[]{25^5}$

1.

$25^{\frac{5}{2}}$

b)

$\sqrt[5]{25^2}$

2.

$25^{\frac{2}{5}}$

c)

$\sqrt[]{5^{25}}$

3.

$5^{\frac{25}{2}}$

d)

$\sqrt[25]{5^2}$

4.

$5^{\frac{2}{25}}$

33.

Simplify the following expression: $\sqrt[4]{81^3}$

(a)

34.

Simplify the following expression: $\sqrt[]{16^4}$

(a)

35.

Simplify the following expression: $\sqrt[3]{8^2}$

(a)

36.

Match the following:

a)

16

1.

$\sqrt[3]{8^4}$

b)

4

2.

$\sqrt[4]{16^2}$

c)

64

3.

$\sqrt[]{16^3}$

d)

9

4.

$\sqrt[4]{81^2}$

e)

81

5.

$\sqrt[3]{27^4}$

37.

Simplify the following expression.

$4\sqrt[]{32x^8}$

Ratioan and Negative Exponents Quiz

Total questions: 37

Worksheet time: 3hrs 5mins

Similar Resources on Wayground