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Exponent Properties Quiz

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Simplify the expression using the Product of Powers Property: x3⋅x4x^3 \cdot x^4 .

a)

x12x^{12}

b)

x7x^7

c)

xx

d)

x6x^6

2.

Simplify the expression using the Quotient of Powers Property: y5y2\frac{y^5}{y^2} .

a)

y3y^3

b)

y10y^{10}

c)

yy

d)

y2y^2

3.

Simplify the expression using the Power of a Power Property: (z4)3(z^4)^3 .

a)

z12z^{12}

b)

z7z^7

c)

zz

d)

z6z^6

4.

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

a)

6a3b36a^3b^3

b)

8a3b38a^3b^3

c)

2a3b32a^3b^3

d)

8ab8ab

5.

Simplify the expression using the Power of a Quotient Property: (23)4\left(\frac{2}{3}\right)^4 .

a)

2434\frac{2^4}{3^4}

b)

812\frac{8}{12}

c)

23\frac{2}{3}

d)

1681\frac{16}{81}

6.

Evaluate the expression using the Zero Exponent Property: 707^0 .

a)

00

b)

11

c)

77

d)

717^1

7.

Simplify the expression using the Product of Powers Property: a2⋅a5a^2 \cdot a^5 .

a)

a10a^{10}

b)

a7a^7

c)

aa

d)

a3a^3

8.

Simplify the expression using the Quotient of Powers Property: m9m−3\frac{m^9}{m^{-3}} .

a)

m6m^6

b)

m12m^{12}

c)

mm

d)

m3m^3

9.

Simplify the expression using the Power of a Power Property: (c5)2(c^5)^2 .

a)

c10c^{10}

b)

c7c^7

c)

cc

d)

c3c^3

10.

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

a)

6x2y26x^2y^2

b)

9x2y29x^2y^2

c)

3x2y23x^2y^2

d)

9xy9xy

11.

Simplify the expression using the Power of a Quotient Property: (45)−3\left(\frac{4}{5}\right)^{-3} .

a)

4353\frac{4^3}{5^3}

b)

1215\frac{12}{15}

c)

5343\frac{5^3}{4^3}

d)

64125\frac{64}{125}

12.
a)

A

b)

B

c)

C

d)

D

13.
a)

A

b)

B

c)

C

d)

D

14.

Simplify:  x8y12x−4y15Simplify:\ \ \frac{x^8y^{12}}{x^{-4}y^{15}}  

a)

x4y3\frac{x^4}{y^3}  

b)

x12y3\frac{x^{12}}{y^3}  

c)

x12y27x^{12}y^{27}  

d)

y3x4\frac{y^3}{x^4}  

15.

Simplify:  8w3y11(4w3y5)2Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}  

a)

2yw3\frac{2y}{w^3}  

b)

1y2w3\frac{1y}{2w^3}  

c)

y4w2\frac{y^4}{w^2}  

d)

1y212w9\frac{1y^{21}}{2w^9}