Download Unit 6 Test Review Packet with Answers

Unit 6 REVIEW ­ Exponents
Name: ________________________
Complete the property.
Product of Powers Property
Power of a Power Property
am an =
(am)n =
(ab)m =
Power of a Quotient Property
Zero Exponent Property
Quotient of Powers Property
am
an = a
b
Power of a Product Property
m
( ) =
a0 = Negative Exponent Property
a­n =
Learning Target 1­4: I can use evaluate expressions using the Power, Quotient, Zero, and Negative Properties of exponents. 1. Simplify:
410
42
4.
2. Simplify:
3. Simplify:
t t9
(83)3
5. Write as a fraction Write two expressions equivalent to x15 .
7. Write as a negative with no exponents.
5x3 + 6x3 7­2
8. Simplify:
exponent.
1
4 4 4 4 4 4
6. Simplify:
(8 )
9 2 9.
What value of n makes c­4 cn = c10 true?
10. Write as a fraction
11. Write as a fraction
with no exponents.
with no exponents.
31 ÷ 35 13.
What is the value of
42 + 62 16.
Simplify:
12.
3­3 ÷ 3­5 65 6­8 14.
Simplify:
15.
Simplify. Write as a fraction with no exponents. ­42
18.Simplify. Write your answer as an exponent.
23 73
(­2)­5
19.
Simplify. Write answer with a positive exponent.
2x3
10x10
20.
Simplify:
(3x)2 + 4x3 Simplify: (­8)2 736 ÷ (76)6 17.
Simplify:
21.
Simplify:
26 32 43
23 34 43
22. What value of n makes the following statement true?
(­2)
= (­2)
4
15
24. Simplify. Leave exponents in your answer.
206
203
3
( )
26. Simplify. Write answer 27. Simplify:
25. Simplify:
(3x3)2
9
()
5
(­2)
exponents in your answer.
1
4
n
4
23. Simplify. Leave 5x
5
as a fraction with positive exponents.
3
( )
x2
4x5
3a
2b
2
( )
b6
12
Learning Target 5­6: I can convert between scientific notation and standard form and multiply and divide numbers in scientific notation.
30.
The height of a The thickness of a sheet 29.
approximately 483 million of paper is about 9.7 x 10­2 building is 8.048 x 102 cm. miles from the Sun. What is millimeters. What is this What is this number in this number in scientific number in standard form?
standard form?
notation?
28.
The planet Jupiter is 31.
The calculator display showed 2.3E­5. What number is this in standard form?
32. Find the quotient. Write 33. Find the product. Write your answer in scientific notation.
3 109
4 103
your answer in scientific notation.
(8 x 103) (2 x 103)
The human eye blinks about 34.
United States has a population of 35.
3.1 x 108 people. China has a 6.25 x 106 times each year. About how many times has the eye of an 8 year old blink? Express your answer in scientific notation.
Answers:
population of 1.3 x 109 people. What is the ratio of China's population to the United States population? Express your answer in scientific notation.
1
22) n = 9 11) 216
1
23) 46
3) 89
12) 32 or 9
24) 209
4) sample:
13) 52
25) 45x11
1) 48
10) 81
2) t10
x10 x5
(x5) 3
x20
x5
5)
1
49
14) 1
15) 64
16) ­16
26) 1
64x9
3a2b4
16
27) 1
17) ­32
18) 143
28) 4.83 x 108
19) 1
5x7
29) 0.097
8) 818
20) 9x2 + 4x3
31) 0.000023
9) n = 14
21) 6) 11x3
7) 4­6
8
9
30) 804.8
32) 7.5 x 105
33) 1.6 x 107
34) 5 x 107
35) 4.2 x 100