Quiz about Radical & Rational Exponents Practice

Question 1

Tell whether the following question is TRUE or FALSE. $$\left(4x^3y^4\right)^2=16x^6y^8$$

Accepted Answer

TRUE

Answer

FALSE

Question 2

When simplified $$\left(-3x^2\right)^2\left(4x^3\right)$$ equals to

Accepted Answer

$$36x^7$$

Answer

$$-36x^{12}$$

Answer

$$-36x^7$$

Answer

$$36x^{12}$$

Question 3

Simplify the expression $$\frac{3x^7y^6}{x^3y^8}=\frac{3x^?}{y^?}$$ . What are the needed power for $$x$$ and $$y$$ ?

Accepted Answer

4 and 2

Answer

21 and 48

Answer

10 and 14

Answer

2 and 2

Question 4

Simplify the expression $$\frac{2x^{-2}y^{-2}}{16x^{-12}y^2}=$$ . What are the needed power for $$x$$ and $$y$$ ?

Accepted Answer

$$\frac{x^{10}}{8y^4}$$

Answer

$$-24x^{14}$$

Answer

$$\frac{4}{x^2}$$

Answer

$$\frac{1}{16x^8y^4}$$

Question 5

Which expression is equivalent to $$\frac{18c^8d^9}{9c^3d^6}$$ ?

Accepted Answer

$$2c^5d^3$$

Answer

$$9c^{11}d^{15}$$

Answer

$$9c^5d^3$$

Answer

$$2c^{11}d^{15}$$

Question 6

Which expression is equivalent to $$\left(x^9yz^4\right)^5$$

Accepted Answer

$$x^{45}y^5z^{20}$$

Answer

$$x^{14}y^6z^9$$

Answer

$$x^{14}y^5z^9$$

Answer

$$x^{45}yz^{20}$$

Question 7

a0 = ?

Accepted Answer

1

Answer

2

Answer

3

Answer

0

Question 8

$$\frac{x^8}{x^5}$$

Accepted Answer

$$x^3$$

Answer

$$x^{13}$$

Answer

$$\frac{x^5}{x^8}$$

Answer

$$x^{40}$$

Question 9

$$\frac{x^8}{x^5}$$

Accepted Answer

$$x^3$$

Answer

$$x^{13}$$

Answer

$$\frac{x^5}{x^8}$$

Answer

$$x^{40}$$

Question 10

$$a^{-4}$$

Accepted Answer

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

Answer

$$a^4$$

Answer

$$\frac{1}{a^{-4}}$$

Answer

$$\frac{a^{-4}}{1}$$

Question 11

Evaluate this expression using the quotient rule.

Accepted Answer

95

Answer

99

Answer

15

Answer

9-5

Question 12

(2ab)3

Accepted Answer

23a3b3

Answer

2ab3

Answer

6a3b3

Answer

6ab

Question 13

Simplify:
(3t²)³

Accepted Answer

27t6

Answer

9t6

Answer

9t5

Answer

27t5

Question 14

Simplify the expression $$(\sqrt{a})^4$$ using rational exponents.

Accepted Answer

$$a^{2}$$

Answer

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

Answer

$$a^{\frac{4}{2}}$$

Answer

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

Question 15

Express the radical $$\sqrt[4]{y^3}$$ as a rational exponent.

Accepted Answer

$$y^{\frac{3}{4}}$$

Answer

$$y^{\frac{4}{3}}$$

Answer

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

Answer

$$y^{4}$$

Question 16

Convert the radical expression $$\sqrt[5]{z^2}$$ to a rational exponent.

Accepted Answer

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

Answer

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

Answer

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

Answer

$$z^{2}$$

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