Name: ________________________ Class: ___________________ Date: __________

ID: A

A. 2a: Exponent Rules Test Review Worksheet Multiple Choice Identify the choice that best completes the statement or answers the question. What is the simplified form of each expression? ____

____

1. (1.6) a. 0

____

–6

3. 2a 5 t 4 2a 5 a. t4 4.

–1

c.

1

d.

–1.6

b.



1 8

c.

8

d.

1 8

b.

2at 20

c.

a5 2t 4

d.

2a 5 t 4

b.

6x

c.



6 x

d.

x6

d.

7 (6)

1 x 6 a.

____

b.

2. (2) 3 a.

____

0

x 6

5. What is the value of 7x 3 y 3 for x = 3 and y = –2? 7 a. –1,512 b.  c. 216

7 46,656

6

Is the number written in scientific notation? If not, explain. ____

6. 2.4  1006 a. No; the first factor is not a number between 1 and 10. b. No; it is not written as a number times a power of 10. c. Yes; the number is written in scientific notation. What is each number written in scientific notation?

____

____

7. 944,000,000 a. 94.4  1007

b.

0.944  109

c.

9.44  10

d.

9.44  10 8

8. 0.000605 a. 6.05  10 4

b.

6.05  10

c.

0.605  10 3

d.

60.5  100 5

d.

3 17

What is each expression written using each base only once? ____

9. 3 8  3 9 a. 3 72

b.

27 17

c.

1

9 17

Name: ________________________

ID: A

What is the simplified form of each expression? ____ 10. 5c 4  5c 5 a. 25c 9

b.

10c 20

c.

10c 9

d.

25c 20

Find the simplified form of the expression. Give your answer in scientific notation.

Ê ˆÊ ˆ ____ 11. ÁÁ 8  10 1 ˜˜ ÁÁ 3  10 10 ˜˜ Ë ¯Ë ¯ a. 2.4  10 12

b.

1.1  10 12

c.

2.4  10 11

d.

1.1  10 11

What is the simplified form of each expression? ____ 12. (8g 6 ) 3 a.

8g 216

b.

8g 18

c.

512g 9

d.

512g 18

b.

3x 8 y 12

c.

2x 3 y 12

d.

9x 8 y 9

b.

200m16 n 11

c.

8m29 n 14 25

d.

200m29 n 14

____ 13. (3xy 3 ) 2 (xy) 6 a.

9x 8 y 12

____ 14. (5m4 n 4 ) 2 (2m7 n 2 ) 3 a.

200m29 n 14

What is the simplified form of each expression? ____ 15.

y5 y2 a.

____ 16.

b.

y 10

c.

1 y3

d.

y7

d

b.

1 d7

c.

1 d

d.

d7

b.

m4 n9

c.

m6 n 11

d.

n6 n 11

d 3 d4 a.

____ 17.

y3

m5 n 11 m9 n 20 a.

m4 n 9

2

Name: ________________________

ID: A

What is the simplified form of the expression? 3 ÁÊ 2 ˜ˆ ____ 18. ÁÁÁÁ ˜˜˜˜ Ë 3n ¯

a.

6n 3

b.

6 9n 3

c.

8 3n

d.

8 27n 3

b.

4b 4 25y 6

c.

4b 4 10y 6

d.

4b 4 5y

d.

40,000

ÊÁ 2 ˆ˜ 2 Á 2b ˜ ____ 19. ÁÁÁÁ 3 ˜˜˜˜ ÁË 5y ˜¯ a.

10b 4 y 6

What is each number written in standard notation? ____ 20. 4  104 a. 160

b.

4,000

c.

3

40 4

ExamView - Exponent Rules Test Review Worksheet.pdf

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