Quiz about Rewriting Rational Exponents in Radical Form

Question 1

______ are another way of writing expressions with radicals.

Accepted Answer

Rational Exponents

Answer

Negative Exponents

Answer

Zero Exponents

Answer

Radical

Question 2

Write expression 12^{\frac{1}{4}} in radical form.

Accepted Answer

$$\sqrt[4]{12}$$

Answer

$$\sqrt[12]{4}$$

Answer

$$\sqrt[3]{12}$$

Answer

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

Question 3

Change the expression $$\left(64a^3b\right)^{\frac{1}{4}}$$

into its radical form.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

Question 4.

Accepted Answer

c

Answer

a

Answer

b

Answer

d

Question 5

Rewrite the expression in radical form, then simplify.

Accepted Answer

$$\frac{1}{2401}$$

Answer

$$\frac{1}{49}$$

Answer

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

Answer

$$\frac{1}{16807}$$

Question 6

Re-write and simplify the following expressions in radical form.

Accepted Answer

$$\sqrt[]{a}$$

Answer

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

Answer

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

Answer

$$\sqrt[]{a^2}$$

Question 7

What is the value of this expression?

Accepted Answer

3

Answer

1

Answer

9

Answer

27

Question 8

What is the index in the radical expression?

Accepted Answer

5

Answer

1

Answer

2

Answer

8

Question 9

Which of the following is NOT TRUE about radical expressions?

Accepted Answer

The index and exponent of a radical may be interchanged.

Answer

The index of the radical determines the root of the radicand.

Answer

Expression with negative rational exponents can be written in radical form,

Answer

When changing in radical form, the denominator of the rational exponent is also the index of the radical.

Question 10

Which of the following is correct when the radical form is transformed into a rational exponent?

Accepted Answer

$$5x^{\frac{2}{3}}$$

Answer

$$5^{\frac{2}{3}}x$$

Answer

$$\left(5x\right)^{\frac{2}{3}}$$

Answer

$$5^{\frac{2}{3}}x^{\frac{2}{3}}$$

Question 11

Express

$$x^{\frac{2}{3}}y^{-1}$$ into a radical form.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 12

Re-write $$\ ^5\sqrt{\sqrt{a}}$$ in rational exponent form.

Accepted Answer

$$a^{\frac{1}{10}}$$

Answer

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

Answer

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

Answer

$$\ ^{10}\sqrt{a}$$

Question 13

Rewrite the expression in exponential form.

Accepted Answer

71/2

Answer

72

Answer

7-2

Answer

7-1/2

Question 14

Simplify writing your answer with a positive exponent

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 16

Write the following expression in radical form:

Accepted Answer

c.)

Answer

a.)

Answer

b.)

Answer

d.)

Question 17

Write the following expression in radical form:

Accepted Answer

a.)

Answer

b.)

Answer

c.)

Answer

d.)

Question 18

Question 18.

Accepted Answer

74/3

Answer

73

Answer

7

Answer

73/4

Rewriting Rational Exponents in Radical Form

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