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Algebra 2 - Unit 4 - Properties of Exponents - Problem Set 5

Total questions: 12

Worksheet time: 3600secs

Name
Class
Date
1.

Rewrite each expression in the form of kxn, where k is a real number, n is a positive integer, and x is a nonzero real number.

a)

8x7

b)

8x10

c)

-15x10

d)

-15x7

2.

Rewrite each expression in the form of kxn, where k is a real number, n is a positive integer, and x is a nonzero real number.

a)

(3x5)/(8x4)

b)

(3x9)/(16)

c)

(3x)/(16)

d)

(3)/(16x)

3.

Rewrite each expression in the form of kxn, where k is a real number, n is a positive integer, and x is a nonzero real number.

a)

(3)/(x-5)

b)

(3)/(x-6)

c)

3x6

d)

3x-5

4.

Rewrite each expression in the form of kxn, where k is a real number, n is a positive integer, and x is a nonzero real number.

a)

(x)/(x8)

b)

x-20

c)

(1)/(x20)

d)

(1)/(x7)

5.

What is the COEFFICIENT in the expression: 4 x 107

a)

4

b)

10

c)

7

6.

What is the BASE in the expression: 4 x 107

a)

4

b)

10

c)

7

7.

Express each expression with positive exponents only:

a)

(303)(405)

b)

12 x 1015

c)

12 x 108

d)

7 x 108

8.

Express each expression with positive exponents only:

a)

(6012)(8018)

b)

48 x 10216

c)

48 x 1030

d)

14 x 1030

9.

Express each expression with positive exponents only:

a)

(12023)(11054)

b)

48 x 101242

c)

132 x 1077

d)

23 x 1077

e)

132 x 101242

10.

Rewrite each expression in the form of kxn, where k is a real number and n is a POSITIVE integer. Assume x≠0

a)

2x15

b)

2x50

c)

2x5

d)

3x15

11.

Rewrite each expression in the form of kxn, where k is a real number and n is a POSITIVE integer. Assume x≠0

a)

6x-2

b)

(6)/(x2)

c)

6x8

d)

(6)/(x8)

12.

Rewrite each expression in the form of kxn, where k is a real number and n is a POSITIVE integer. Assume x≠0

a)

x6n

b)

x2n+3

c)

x5n