Quiz about Exponent Properties Quiz

Question 1

Simplify the expression using the Product of Powers Property: $$x^3 \cdot x^4$$ .

Accepted Answer

$$x^7$$

Answer

$$x^{12}$$

Answer

$$x$$

Answer

$$x^6$$

Question 2

Simplify the expression using the Quotient of Powers Property: $$\frac{y^5}{y^2}$$ .

Accepted Answer

$$y^3$$

Answer

$$y^{10}$$

Answer

$$y$$

Answer

$$y^2$$

Question 3

Simplify the expression using the Power of a Power Property: $$(z^4)^3$$ .

Accepted Answer

$$z^{12}$$

Answer

$$z^7$$

Answer

$$z$$

Answer

$$z^6$$

Question 4

Simplify the expression using the Power of a Product Property: $$(2ab)^3$$ .

Accepted Answer

$$8a^3b^3$$

Answer

$$6a^3b^3$$

Answer

$$2a^3b^3$$

Answer

$$8ab$$

Question 5

Simplify the expression using the Power of a Quotient Property: $$\left(\frac{2}{3}\right)^4$$ .

Accepted Answer

$$\frac{2^4}{3^4}$$

Answer

$$\frac{8}{12}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{16}{81}$$

Question 6

Evaluate the expression using the Zero Exponent Property: $$7^0$$ .

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$7$$

Answer

$$7^1$$

Question 7

Simplify the expression using the Product of Powers Property: $$a^2 \cdot a^5$$ .

Accepted Answer

$$a^7$$

Answer

$$a^{10}$$

Answer

$$a$$

Answer

$$a^3$$

Question 8

Simplify the expression using the Quotient of Powers Property: $$\frac{m^9}{m^{-3}}$$ .

Accepted Answer

$$m^{12}$$

Answer

$$m^6$$

Answer

$$m$$

Answer

$$m^3$$

Question 9

Simplify the expression using the Power of a Power Property: $$(c^5)^2$$ .

Accepted Answer

$$c^{10}$$

Answer

$$c^7$$

Answer

$$c$$

Answer

$$c^3$$

Question 10

Simplify the expression using the Power of a Product Property: $$(3xy)^2$$ .

Accepted Answer

$$9x^2y^2$$

Answer

$$6x^2y^2$$

Answer

$$3x^2y^2$$

Answer

$$9xy$$

Question 11

Simplify the expression using the Power of a Quotient Property: $$\left(\frac{4}{5}\right)^{-3}$$ .

Accepted Answer

$$\frac{5^3}{4^3}$$

Answer

$$\frac{4^3}{5^3}$$

Answer

$$\frac{12}{15}$$

Answer

$$\frac{64}{125}$$

Question 12

Question 12.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 13

Question 13.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 14

$$Simplify:\ \ \frac{x^8y^{12}}{x^{-4}y^{15}}$$

Accepted Answer

$$\frac{x^{12}}{y^3}$$

Answer

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

Answer

$$x^{12}y^{27}$$

Answer

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

Question 15

$$Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}$$

Accepted Answer

$$\frac{1y}{2w^3}$$

Answer

$$\frac{2y}{w^3}$$

Answer

$$\frac{y^4}{w^2}$$

Answer

$$\frac{1y^{21}}{2w^9}$$

Exponent Properties Quiz

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