Download Exponents Practice Quest

Name: ______________________
Level I
Date: _________
8-1 to 8-5 Practice Quest
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the expression.
____
____
1. (−5.9) 0
a. 1
____
____
4.
d. 0
b.
1
32
c. − 1
32
d. –10
b. 5cm −30
c. 5c 5 m −6
d.
m6
5c 5
56x
y
d.
7
xy −7
7
−8
x y
7x 8
y
5. (8.27) −5 ⋅ (8.27) 6
a. 11
b.
7
x8 y
c.
b. 8.27
c. 1
d. –8.2711
b. 4g 2
c. 4g 3
d. 5g 3
6. 4g 2 ⋅ g
a.
____
32
3. 5c −5 m 6
6
a. 5 m5
c
a.
____
c. –1
2. (2) −5
a.
____
b. –5.9
5g 2
7. Which number is NOT written in scientific notation?
a. 3 × 10 −8
b. 6.7 × 10 3
c. 8.7 × 10 −5
1
d. 25.67 × 10 −2
Name: ______________________
ID: A
Simplify the expression. Write the answer using scientific notation.
____
Ê
ˆÊ
ˆ
8. ÁÁÁ 0.4 × 10 −6 ˜˜˜ ÁÁÁ 0.7 × 10 −2 ˜˜˜
Ë
¯Ë
¯
−9
a. 2.8 × 10
b. 2.8 × 10 −8
c. 2.8 × 10 −7
d. 0.28 × 10 −9
Complete the equation, by supplying the missing exponent.
____
9. 3
a.
⋅ 3 −6 = 3 2
–8
b. –3
c. 8
Short Answer
Simplify the expression.
10. 2x −8 ⋅ 5x 3
11. 5x 9 ⋅ 3y 9 ⋅ 2x 2
12. (x −5 ) 3
13. (3xy 3 ) 2 (xy) 6
14. (−2g 3 h 5 ) 3 (g 6 h 4 ) 4
8
15. d 9
d
−10 12
16. a −7 b 6
a b
17. Evaluate 7x 3 y −1 for x = 3 and y = –2.
2
d. 4
Name: ______________________
ID: A
Write the number in scientific notation.
18. 3,510,000
19. 0.000395
Write the number in standard notation.
20. 3.3 × 10 5
21. 2.75 × 10 −3
Complete the equation, by supplying the missing exponent.
22. m
⋅ n 2 ⋅ m 3 = m 11 n 2
.
23. Simplify. Show your work.
(3x −3 y 4 ) −2 (x 2 y −3 ) 4
Other
24. Multiply:
(6.2 × 10 −3 )(3.4 × 10 6 )
3
ID: A
8-1 to 8-5 Practice Quest
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
A
B
A
A
B
C
D
A
C
SHORT ANSWER
10. 425
x
11. 30x 11 y 9
12. 115
x
13. 9x 8 y 12
14. −8g 33 h 31
15. 1
d
6
16. b 3
a
17. −94 1
2
18. 3.51 × 10 6
19.
20.
21.
22.
3.95 × 10 −4
300,000
0.00275
8
1
ID: A
ESSAY
23.
[4]
(3m −1 n 4 ) −2 (2m 3 n −5 ) 4
= 3 −2 m 2 n −8 ⋅ 2 4 m 12 n −20
= (3 −2 )(2 4 )m 2 m 12 ⋅ n −8 n −20
= (3 −2 )(2 4 )m 14 ⋅ n −28
ÊÁ ˆ˜
= ÁÁÁÁ 1 ˜˜˜˜ (16)m 14 ⋅ 128
Ë9¯
n
[3]
[2]
[1]
14
= 16m28
9n
one computational error
incorrect application of a law of exponents OR two computational errors
more than two computational errors
OTHER
24. blah
2