Quiz about Rational Exponents Day 1 HW

Question 1

Rewrite in radical form: $$x^{\frac{5}{6}}$$

Accepted Answer

$$\sqrt[6]{x^5}$$

Answer

$$\frac{1}{\sqrt[6]{x^5}}$$

Answer

$$\sqrt[5]{x^6}$$

Answer

$$\frac{1}{\sqrt[5]{x^6}}$$

Question 2

Rewrite in radical form: $$y^{-\frac{8}{11}}$$

Accepted Answer

$$\frac{1}{\sqrt[11]{y^8}}$$

Answer

$$\sqrt[11]{y^8}$$

Answer

$$\sqrt[8]{y^{11}}$$

Answer

$$\frac{1}{\sqrt[8]{y^{11}}}$$

Question 3

Rewrite in radical form: $$\left(4xy\right)^{\frac{1}{7}}$$

Accepted Answer

$$\sqrt[7]{4xy}$$

Answer

$$\frac{1}{4xy}$$

Answer

$$\frac{1}{\sqrt[7]{4xy}}$$

Answer

$$4x\ \sqrt[7]{y}$$

Question 4

Rewrite in exponential form: $$\sqrt[]{a^5}$$

Accepted Answer

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

Answer

$$a^5$$

Answer

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

Answer

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

Question 5

Rewrite in exponential form: $$\sqrt[7]{b^3}$$

Accepted Answer

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

Answer

$$b^{-\frac{3}{7}}$$

Answer

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

Answer

$$b^{-\frac{7}{3}}$$

Question 6

Rewrite in exponential form: $$\frac{1}{\left(\sqrt[4]{2c}\right)^5}$$

Accepted Answer

$$\left(2c\right)^{-\frac{5}{4}}$$

Answer

$$2c^{-\frac{4}{5}}$$

Answer

$$\left(2c\right)^{-\frac{4}{5}}$$

Answer

$$2c^{-\frac{5}{4}}$$

Question 7

Evaluate WITHOUT a calculator: $$4^{\frac{3}{2}}$$

Accepted Answer

8

Answer

16

Answer

64

Answer

1/8

Question 8

Evaluate WITHOUT a calculator: $$-100^{\frac{3}{2}}$$

Accepted Answer

$$-1,000$$

Answer

$$\frac{1}{10}$$

Answer

$$-\frac{1}{1000}$$

Answer

$$1,000$$

Question 9

Evaluate WITHOUT a calculator: $$49^{\frac{3}{2}}$$

Accepted Answer

$$343$$

Answer

$$\frac{1}{7}$$

Answer

$$\frac{1}{343}$$

Answer

$$7$$

Question 10

Evaluate WITHOUT a calculator: $$\left(-125\right)^{\frac{2}{3}}$$

Accepted Answer

$$25$$

Answer

$$-25$$

Answer

$$\frac{1}{25}$$

Answer

$$-\frac{1}{25}$$

Question 11

Evaluate WITHOUT a calculator: $$\left(-216\right)^{\frac{2}{3}}$$

Accepted Answer

$$36$$

Answer

$$-\frac{1}{6}$$

Answer

$$-36$$

Answer

$$\frac{1}{36}$$

Question 12

Evaluate WITHOUT a calculator: $$36^{-\frac{3}{2}}$$

Accepted Answer

$$\frac{1}{216}$$

Answer

$$216$$

Answer

$$-\frac{1}{216}$$

Answer

$$-216$$

Question 13

Evaluate WITHOUT a calculator: $$16^{\frac{3}{4}}$$

Accepted Answer

$$8$$

Answer

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

Answer

$$\frac{1}{8}$$

Answer

$$64$$

Question 14

Evaluate WITHOUT a calculator: $$64^{-\frac{2}{3}}$$

Accepted Answer

$$\frac{1}{16}$$

Answer

$$-\frac{1}{16}$$

Answer

$$16$$

Answer

$$-16$$

Question 15

Evaluate WITHOUT a calculator: $$-49^{-\frac{1}{2}}$$

Accepted Answer

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

Answer

$$\frac{1}{7}$$

Answer

$$7$$

Answer

$$-7$$

Rational Exponents Day 1 HW

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