Quiz about Rational Exponents

Question 1

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 2

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 3

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 4

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 5

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 6

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

Accepted Answer

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

Answer

$$x^{11}$$

Answer

$$x^9$$

Answer

$$x^{10}$$

Question 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

$$x^0$$

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$x$$

Answer

$$\sqrt[]{x}$$

Question 16

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 17

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

Accepted Answer

$$x^5$$

Answer

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

Answer

$$x^{12}$$

Answer

$$x^{18}$$

Question 18

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

Accepted Answer

$$x^7$$

Answer

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

Answer

$$x^{24}$$

Answer

$$x^{-24}$$

Question 19

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 20

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

$$x^9$$

Rational Exponents

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