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Mixed Review Exponent Laws

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
2.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
3.

Simplify

a)

7a5b3\frac{7a^5}{b^3}

b)

b37a5\frac{b^3}{7a^5}

c)

7b3a−5\frac{7b^3}{a^{-5}}

d)

7b3a5\frac{7b^3}{a^5}

4.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a9b6c3

5.

Simplify the following expression:

a)

18x25

b)

9x10

c)

1

d)

18x10

6.

The expression (x3)(x-17) is equivalent to xn. What is the value of n?

a)

n = 20

b)

n = -14

c)

n = -51

d)

n = 14

7.

Which expression is equivalent to the given expression?

a)
b)
c)
d)
8.

Evaluate 5x4⋅4x55x^4\cdot4x^5   

a)

 4x2\frac{4}{x^2}  

b)

4

c)

 20x920x^9  

d)

 9x4\frac{9}{x^4}  

9.

Simplify 5r64r3\frac{5r^6}{4r^3}   

a)

 3r2\frac{3}{r^2}  

b)

 3r2\frac{3r}{2}  

c)

 5r44\frac{5r^4}{4}  

d)

 5r34\frac{5r^3}{4}  

10.

Simplify (p3)6\left(p^3\right)^6   

a)

 1243p25\frac{1}{243p^{25}}  

b)

 125p18125p^{18}  

c)

 1p8\frac{1}{p^8}  

d)

 p18p^{18} 

11.

[ (12x3y5z7)/ (144x-4 y7z-3)]0

a)

12(x7z10)

b)

1

c)

(x7z10)/12y2

d)

(x7y-2z10)/12

12.

Which expression is equivalent to the given?

a)
b)
c)
d)
13.

a)

F

b)

G

c)

H

d)

J

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

F

b)

G

c)

H

d)

J