Quiz about Rational Fraction Exponents and Radicals

Question 1

When changing rational (fractional) exponents to radical form, the denominator of the fraction is the root or power?

Accepted Answer

Root

Answer

Power

Question 2

When rewriting a radical in exponential form (fraction exponent), the power goes on the numerator or denominator of your fraction?

Accepted Answer

Numerator

Answer

Denominator

Question 3

Write the expression in radical form.

Accepted Answer

$$\left(\sqrt[]{x}\right)^5$$

Answer

$$\left(\sqrt[5]{x}\right)^2$$

Answer

$$x^{2.5}$$

Answer

$$\sqrt[]{x^{\frac{5}{2}}}$$

Question 4

Question 4.

Accepted Answer

25/3

Answer

23/5

Answer

-23/5

Answer

85

Question 5

Question 5.

Accepted Answer

74/3

Answer

73

Answer

7

Answer

73/4

Question 6

Write the following expression in exponential form:

Accepted Answer

a.)

Answer

b.)

Answer

c.)

Answer

d.)

Question 7

Question 7.

Accepted Answer

71/2

Answer

72

Answer

7-2

Answer

7-1/2

Question 8

Question 8.

Accepted Answer

44/3

Answer

43/4

Answer

24/3

Answer

23/4

Question 9

Question 9.

Accepted Answer

63/2

Answer

216

Answer

61/2

Answer

62

Question 10

Question 10.

Accepted Answer

21/6

Answer

64

Answer

61/2

Answer

26

Question 11

Question 11.

Accepted Answer

(5x)-1/2

Answer

(5x)-2/1

Answer

(5x)2/1

Answer

(5x)1/2

Question 12

Question 12.

Accepted Answer

m- 0.5

Answer

m- 2

Answer

m1/2

Answer

m0.5

Question 13

Simplify the following

Accepted Answer

Answer

48

Answer

-48i

Question 14

What mathematical term do we use to eliminate radicals in the denominator of a fraction

Accepted Answer

Rationalize

Answer

really, really fix it!

Answer

eliminate

Question 15

Simplify the following

Accepted Answer

$$54x^3y^2\sqrt[4]{6x^3}$$

Answer

$$45x^3y^3\sqrt[4]{6x^3}$$

Answer

$$54xy^3\sqrt[4]{6x^3}$$

Question 16

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

Accepted Answer

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

Answer

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

Answer

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

Answer

$$x^5$$

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