Quiz about Exponent Rules, Rational Exponents, and Simplifying Radicals

Question 1

$$3^{-3}$$

Accepted Answer

$$\frac{1}{27}$$

Answer

$$27$$

Answer

$$-27$$

Answer

$$\frac{1}{-27}$$

Question 2

$$2^{-5}$$

Accepted Answer

$$\frac{1}{32}$$

Answer

$$-32$$

Answer

$$32$$

Answer

$$\frac{1}{-32}$$

Question 3

$$4^3$$

Accepted Answer

$$64$$

Answer

$$\frac{1}{64}$$

Answer

$$-64$$

Answer

$$\frac{1}{-64}$$

Question 4

Question 4.

Accepted Answer

21/6

Answer

64

Answer

61/2

Answer

26

Question 5

Simplify the following expression:

Accepted Answer

2

Answer

4

Answer

16

Answer

64

Question 6

Check all that applies

Accepted Answer

4

Accepted Answer

2561/4

Answer

8

Answer

1024

Question 7

an exponent 1/2 means

Accepted Answer

square root

Answer

cube root

Answer

fourth root

Answer

fifth root

Question 8

What is the 5th root of 1024?

Accepted Answer

4

Answer

5120

Answer

160

Answer

32

Question 9

Write using a rational exponent: $$\sqrt[5]{x^3}$$

Accepted Answer

$$x^{\frac{3}{5}}$$

Answer

$$x^{\frac{5}{3}}$$

Answer

$$x^2$$

Answer

$$x^8$$

Question 10

Write using a rational exponent: $$\sqrt[3]{x^7}$$

Accepted Answer

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

Answer

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

Answer

$$x^4$$

Answer

$$x^{11}$$

Question 11

Write using a rational exponent: $$\sqrt[3]{x^6}$$

Accepted Answer

$$x^2$$

Answer

$$x^3$$

Answer

$$x^9$$

Answer

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

Question 12

Write using a rational exponent: $$\sqrt[5]{x^2}$$

Accepted Answer

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

Answer

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

Answer

$$x^3$$

Answer

$$x^7$$

Question 13

Write using a rational exponent: $$\sqrt[3]{x^8}$$

Accepted Answer

$$x^{\frac{8}{3}}$$

Answer

$$x^{\frac{3}{8}}$$

Answer

$$x^5$$

Answer

$$x^{11}$$

Question 14

Write using a rational exponent: $$\sqrt[]{x^{11}}$$

Accepted Answer

$$x^{\frac{11}{2}}$$

Answer

$$x^{11}$$

Answer

$$x^9$$

Answer

$$x^{10}$$

Question 15

Write using a rational exponent: $$\sqrt[]{x^5}$$

Accepted Answer

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

Answer

$$x^5$$

Answer

$$x^{\frac{1}{5}}$$

Answer

$$x^4$$

Question 16

Write using a rational exponent: $$\sqrt[]{x^{12}}$$

Accepted Answer

$$x^6$$

Answer

$$x^{\frac{1}{12}}$$

Answer

$$x^{\frac{1}{6}}$$

Answer

$$x^{12}$$

Question 17

Write using a rational exponent: $$\sqrt[]{x^8}$$

Accepted Answer

$$x^4$$

Answer

$$x^8$$

Answer

$$x^{\frac{1}{8}}$$

Answer

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

Question 18

Write using a radical: $$x^{\frac{3}{7}}$$

Accepted Answer

$$\sqrt[7]{x^3}$$

Answer

$$\sqrt[3]{x^7}$$

Answer

$$\sqrt[]{x^{\frac{7}{3}}}$$

Answer

$$x^4$$

Question 19

Write using a radical: $$x^{\frac{8}{5}}$$

Accepted Answer

$$\sqrt[5]{x^8}$$

Answer

$$\sqrt[8]{x^5}$$

Answer

$$\sqrt[]{x^{\frac{5}{8}}}$$

Answer

$$x^{-3}$$

Question 20

Write using a radical: $$x^{\frac{13}{7}}$$

Accepted Answer

$$\sqrt[7]{x^{13}}$$

Answer

$$\sqrt[13]{x^7}$$

Answer

$$\sqrt[]{x^{\frac{7}{13}}}$$

Answer

$$x^6$$

Question 21

Write using a radical: $$x^{\frac{1}{5}}$$

Accepted Answer

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

Answer

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

Answer

$$\sqrt[]{x^{\frac{1}{5}}}$$

Answer

$$x^5$$

Question 22

Write using a radical: $$x^{\frac{1}{8}}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$x^8$$

Question 23

$$x^0$$

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$x$$

Answer

$$\sqrt[]{x}$$

Question 24

Write using a radical: $$x^{\frac{1}{10}}$$

Accepted Answer

$$\sqrt[10]{x^{ }}$$

Answer

$$\sqrt[]{x^{10}}$$

Answer

$$\sqrt[]{x^{\frac{1}{10}}}$$

Answer

$$x^{10}$$

Question 25

$$\sqrt[3]{x^{15}}$$

Accepted Answer

$$x^5$$

Answer

$$x^{\frac{1}{5}}$$

Answer

$$x^{12}$$

Answer

$$x^{18}$$

Question 26

$$\sqrt[4]{x^{28}}$$

Accepted Answer

$$x^7$$

Answer

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

Answer

$$x^{24}$$

Answer

$$x^{-24}$$

Question 27

Write using a radical: $$x^{\frac{7}{2}}$$

Accepted Answer

$$\sqrt[]{x^7}$$

Answer

$$\sqrt[7]{x^2}$$

Answer

$$\sqrt[]{x^{\frac{2}{7}}}$$

Answer

$$x^5$$

Question 28

Write using a radical: $$x^{\frac{11}{2}}$$

Accepted Answer

$$\sqrt[]{x^{11}}$$

Answer

$$\sqrt[11]{x^2}$$

Answer

$$\sqrt[]{x^{\frac{2}{11}}}$$

Answer

$$x^9$$

Exponent Rules, Rational Exponents, and Simplifying Radicals

106 questions

Simplify: $6^5\cdot6^2$

Simplify: $3n^5\cdot5n^{10}$

$3^7\cdot3^7$

Simplify: $10x^8\cdot9x$

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

Simplify: $\frac{2^9}{2^6}$

Simplify: $\frac{12x^5y^4}{2x^9y}$

Simplify: $\left(3x^5\right)^6$

Simplify: $\left(4y\right)^{-3}$

Simplify: $\left(2m\right)^5$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponent Rules, Rational Exponents, and Simplifying Radicals

106 questions

Simplify: 65⋅626^5\cdot6^265⋅62

Simplify: 3n5⋅5n103n^5\cdot5n^{10}3n5⋅5n10

37⋅373^7\cdot3^737⋅37

Simplify: 10x8⋅9x10x^8\cdot9x10x8⋅9x

Simplify: (2a3b4c3)2⋅(4a2bc3)\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)(2a3b4c3)2⋅(4a2bc3)

Simplify: 2926\frac{2^9}{2^6}2629​

Simplify: 12x5y42x9y\frac{12x^5y^4}{2x^9y}2x9y12x5y4​

Simplify: (3x5)6\left(3x^5\right)^6(3x5)6

Simplify: (4y)−3\left(4y\right)^{-3}(4y)−3

Simplify: (2m)5\left(2m\right)^5(2m)5

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Simplify: $6^5\cdot6^2$

Simplify: $3n^5\cdot5n^{10}$

$3^7\cdot3^7$

Simplify: $10x^8\cdot9x$

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

Simplify: $\frac{2^9}{2^6}$

Simplify: $\frac{12x^5y^4}{2x^9y}$

Simplify: $\left(3x^5\right)^6$

Simplify: $\left(4y\right)^{-3}$

Simplify: $\left(2m\right)^5$