97. 98. 99.
100. 101. 102.
103. 104. 105.
106. 107. 108.
109. 110. 111.
112. 113. 114.
115. 116. 117.
118. 119. 120.
121. 122. 123.
124. 125. 126.
Brain Busters Simplify each expression. Assume that all variables represent nonzero real
numbers.
129. 130.
131. 132.
Write each number in scientific notation. See Example 9.
- 530 134. 1600 135.0.830 136.0.0072
137.0.00000692 138.0.875 139. 140.
Write each number in standard notation. See Example 10.
Evaluate. Express answers in standard notation. See Example 11.
152. 153. 154.
155. 156.
840,000*0.03
0.00021* 600
20,000*0.018
300 *0.0004
0.003*40,000
0.00012
0.05* 1600
0.0004
5 * 10 -^3
25 * 102
3 * 10 -^2
12 * 103
16 * 105
4 * 108
12 * 104
2 * 106
- 6 104 - 9 103 1.2 10 -^5 2.7 10 -^6
7.2 104 8.91 102 2.54 10 -^3 5.42 10 -^4
- 38,500 -976,000,000
a
a^6 b-^2
2 a-^2
b
- 1
#a^6 a- 2
5 b-^4
- 2
b
2
#a^2 b
(^1) a 2
3 b-^2
b
1
a
p^2 q -^1
2 p-^2
b
2
#ap
(^3) # 4 q - 2
3 q -^5
b
- 1
#apq^- 5
q-^2
- 5
b
3
12 m^3 x^22 -^113 m^4 x 2 -^3
1 m^2 x^3231 m^2 x 2 -^5
1 - 3 y^3 x^321 - 4 y^4 x^221 x^22 -^4
18 x^3 y^21 y^3231 x^32 -^2
1 - 5 y^3 z^42212 yz^52 -^2
101 y^4 z 2313 y^3 z^22 -^1
12 m^2 p^32214 m^2 p 2 -^2
1 - 3 mp^42 -^112 m^3 p^423
a
- 4 a^3 b^2
12 a^5 b-^4
b
- 3
a - 3 x^4 y^6
15 x-^6 y^7
b
- 3
a
8 x-^6 y^3
x^4 y-^4
b
- 2
a
5 m^4 n-^3
m-^5 n^2
b
3 -^1 m^41 m^22 -^1 -^2
32 m-^2
22 y^41 y-^32 -^1
25 y-^2
a
5 z^3
2 a^2
b
- 3
a
8 a-^1
15 z-^2
b
- 3
a
2 p
q^2
b
3
a
3 p^4
q-^4
b
- 1
a
7 m-^2
m-^3
b
- 2
#m
3
4
a
3 k-^2
k^4
b
- 1
#^2
k
13 r^222 r-^5
r-^2 r^3
12 r-^622
12 k 22 k^3
k-^1 k-^5
15 k-^22 -^3
13 rs 2 -^2
32 r^2 s-^4
12 k 22 m-^5
1 km 2 -^3
21 - m-^12 -^4
91 m-^322
1 - y-^422
61 y-^52 -^1
12 k-^21 k-^32 -^4
6 k^5
4 a^51 a-^123
1 a-^22 -^2
1 - 8 xy 2 y^3
4 x^5 y^4
13 pq 2 q^2
6 p^2 q^4
1 m^420
9 m-^3
1 p-^220
5 p-^4
7 k^21 - 2 k 214 k-^5203 a^21 - 5 a-^621 - 2 a 20
13 p-^4221 p^32 -^11 z-^4 x^32 -^11 y-^2 z^42 -^3
- 4 r-^21 r^422 - 2 m-^11 m^32215 a-^1241 a^22 -^3