Svarlykill

Kafli 6

Undirbúningur

6.1.

$11 x$

6.2.

$3 n + 9$

6.3.

$a \cdot a \cdot a \cdot a \cdot a$

6.4.

$\frac{3}{4} \cdot \frac{3}{4}$

6.5.

$- 8$

6.6.

$2 x + 6$

6.7.

$x^{2} + 16 x + 63$

6.8.

ⓐ $81$ ⓑ $81$ ⓒ $- 81$

6.9.

$\frac{1}{3}$

6.10.

$32 m^{15}$

6.11.

$\frac{x}{y}$

6.12.

$\frac{3 + x}{d}$

6.13.

$6 y^{2}$

6.14.

$11 a^{2} + 7 a + 5$

6.15.

Tíu þúsundir

6.16.

Tólf tíuþúsundustu hlutar

6.17.

$8$

Prófið sjálf

6.1.

ⓐ einliða ⓑ margliða ⓒ þríliða ⓓ tvíliða ⓔ einliða

6.2.

ⓐ tvíliða ⓑ þríliða ⓒ einliða ⓓ margliða ⓔ einliða

6.3.

ⓐ $1$ ⓑ $4$ ⓒ $12$ ⓓ 3 ⓔ 0

6.4.

ⓐ $0$ ⓑ $5$ ⓒ $1$ ⓓ 2 ⓔ 3

6.5.

$21 q^{2}$

6.6.

$−7 c^{2}$

6.7.

$13 m$

6.8.

$−10 z^{3}$

6.9.

$5 y^{2} + 3 z^{2}$

6.10.

$−4 m^{2} + n^{2}$

6.11.

Engir samkynja liðir eru til að leggja saman.

6.12.

Engir samkynja liðir eru til að leggja saman.

6.13.

$8 x^{2} - 11 x + 8$

6.14.

$17 y^{2} + 14 y + 1$

6.15.

$x^{2} + 3 x - 5$

6.16.

$6 b^{2} + 3$

6.17.

$2 z^{2} + 12 z - 2$

6.18.

$5 x^{2} + 14 x + 7$

6.19.

$5 x^{2} - 5 x y + 5 y^{2}$

6.20.

$7 x^{2} - 6 x y - 2 y^{2}$

6.21.

$- 5 a b + 7 b^{2}$

6.22.

$4 n^{2} + 7 m n$

6.23.

$x^{3} - y^{3}$

6.24.

$p^{3} - 2 p^{2} q + q^{3}$

6.25.

ⓐ $18$ ⓑ $50$ ⓒ $−15$

6.26.

ⓐ $18$ ⓑ $−4$ ⓒ $14$

6.27.

$250$

6.28.

$106$

6.29.

$576

6.30.

$750

6.31.

ⓐ 216 ⓑ $15$ ⓒ $\frac{9}{49}$ ⓓ 0.1849

6.32.

ⓐ $32$ ⓑ 21 ⓒ $\frac{8}{125}$ ⓓ $0.047524$

6.33.

ⓐ $81$ ⓑ $−81$

6.34.

ⓐ $169$ ⓑ $−169$

6.35.

$b^{17}$

6.36.

$x^{16}$

6.37.

ⓐ $5^{6}$ ⓑ $4^{18}$

6.38.

ⓐ $7^{14}$ ⓑ $10^{11}$

6.39.

ⓐ $p^{6}$ ⓑ $y^{43}$

6.40.

ⓐ $z^{8}$ ⓑ $b^{49}$

6.41.

$x^{18}$

6.42.

$b^{19}$

6.43.

ⓐ $b^{35}$ ⓑ $5^{12}$

6.44.

ⓐ $z^{54}$ ⓑ $3^{49}$

6.45.

ⓐ $144 y^{2}$ ⓑ $32 w^{5} x^{5}$

6.46.

ⓐ $125 w^{3} x^{3}$ ⓑ $−27 y^{3}$

6.47.

ⓐ $a^{48}$ ⓑ $−8 c^{12} d^{6}$

6.48.

ⓐ $81 x^{24} y^{28}$ ⓑ $q^{29}$

6.49.

ⓐ $75 n^{12}$ ⓑ $81 c^{24} d^{30}$

6.50.

ⓐ $256 a^{22} b^{24}$ ⓑ $40 x^{10}$

6.51.

$−35 y^{11}$

6.52.

$54 b^{9}$

6.53.

$6 a^{5} b^{6}$

6.54.

$8 r^{11} s^{8}$

6.55.

$5 x + 35$

6.56.

$3 y + 39$

6.57.

$x^{2} - 7 x$

6.58.

$d^{2} - 11 d$

6.59.

$5 x^{2} + 20 x y$

6.60.

$12 p^{2} + 2 p r$

6.61.

$−15 y^{3} - 24 y^{2} + 21 y$

6.62.

$8 x^{4} - 12 x^{3} + 20 x^{2}$

6.63.

$12 x^{3} - 20 x^{2} + 12 x$

6.64.

$−18 a^{5} + 12 a^{4} - 36 a^{3}$

6.65.

$x p + 8 p$

6.66.

$a p + 4 p$

6.67.

$x^{2} + 17 x + 72$

6.68.

$20 x^{2} + 51 x + 27$

6.69.

$12 b^{2} + 38 b + 30$

6.70.

$a^{2} + 17 a + 70$

6.71.

$30 y^{2} - 3 y - 6$

6.72.

$15 c^{2} + 14 c - 8$

6.73.

$a^{2} - a b + 7 a - 7 b$

6.74.

$x^{2} - x y + 5 x - 5 y$

6.75.

$x^{2} + 14 x + 48$

6.76.

$y^{2} + 20 y + 51$

6.77.

$x^{2} - 2 x - 35$

6.78.

$b^{2} + 3 b - 18$

6.79.

$15 x^{2} + 29 x - 14$

6.80.

$16 y^{2} - 20 y - 50$

6.81.

$10 c^{2} - 60 c - c d + 6 d$

6.82.

$14 x^{2} - 35 x - 2 x y + 5 y$

6.83.

$x^{3} - 8 x^{2} + 6 x - 48$

6.84.

$y^{3} - 9 y^{2} + 7 y - 63$

6.85.

$8 a^{2} b^{2} + 12 a b - 20$

6.86.

$8 x^{2} y^{2} + 2 x y - 15$

6.87.

$15 m^{2} - 51 m + 42$

6.88.

$42 b^{2} - 53 b + 15$

6.89.

$y^{3} - 8 y^{2} + 17 y - 6$

6.90.

$2 x^{3} + 5 x^{2} - 7 x + 20$

6.91.

$y^{3} - 8 y^{2} + 17 y - 6$

6.92.

$2 x^{3} + 5 x^{2} - 7 x + 20$

6.93.

$x^{2} + 18 x + 81$

6.94.

$y^{2} + 22 y + 121$

6.95.

$x^{2} - 18 x + 81$

6.96.

$p^{2} - 26 p + 169$

6.97.

$36 x^{2} + 36 x + 9$

6.98.

$16 x^{2} + 72 x + 81$

6.99.

$4 c^{2} - 4 c d + d^{2}$

6.100.

$16 x^{2} - 40 x y + 25 y^{2}$

6.101.

$4 x^{4} + 4 x^{2} + 1$

6.102.

$9 y^{6} + 12 y^{3} + 4$

6.103.

$x^{2} - 25$

6.104.

$w^{2} - 9$

6.105.

$36 x^{2} - 25$

6.106.

$4 x^{2} - 49$

6.107.

$49 - 16 x^{2}$

6.108.

$81 - 4 y^{2}$

6.109.

$16 p^{2} - 49 q^{2}$

6.110.

$9 x^{2} - y^{2}$

6.111.

$x^{2} y^{2} - 36$

6.112.

$a^{2} b^{2} - 81$

6.113.

$9 x^{4} - 16 y^{6}$

6.114.

$4 m^{4} - 25 n^{6}$

6.115.

ⓐ FOIL-aðferð; $18 b^{2} + 77 b - 18$ ⓑ ferningsregla tvíliða; $81 p^{2} - 72 p + 16$ ⓒ ferningsregla tvíliða; $49 y^{2} + 14 y + 1$ ⓓ margfeldi samoka; $16 r^{2} - 9$

6.116.

ⓐ ferningsregla tvíliða; $36 x^{2} + 84 x + 49$ ⓑ margfeldi samoka; $9 x^{2} - 16$ ⓒ FOIL-aðferð; $10 x^{2} - 29 x + 10$ ⓓ ferningsregla tvíliða; $36 n^{2} - 12 n + 1$

6.117.

ⓐ $x^{5}$ ⓑ $6^{9}$

6.118.

ⓐ $y^{6}$ ⓑ $10^{8}$

6.119.

ⓐ $\frac{1}{x^{4}}$ ⓑ $\frac{1}{12^{15}}$

6.120.

ⓐ $\frac{1}{m^{8}}$ ⓑ $\frac{1}{9^{11}}$

6.121.

ⓐ $b^{8}$ ⓑ $\frac{1}{z^{6}}$

6.122.

ⓐ $\frac{1}{p^{8}}$ ⓑ $w^{4}$

6.123.

ⓐ 1 ⓑ 1

6.124.

ⓐ 1 ⓑ 1

6.125.

ⓐ $1$ ⓑ $1$

6.126.

ⓐ $1$ ⓑ $1$

6.127.

ⓐ $\frac{25}{64}$ ⓑ $\frac{p^{4}}{10,000}$ ⓒ $\frac{m^{7}}{n^{7}}$

6.128.

ⓐ $\frac{1}{27}$ ⓑ $\frac{−8}{q^{3}}$ ⓒ $\frac{w^{4}}{x^{4}}$

6.129.

$m^{13}$

6.130.

$k^{5}$

6.131.

6.132.

6.133.

$r^{8}$

6.134.

$v^{6}$

6.135.

$\frac{a^{12}}{b^{8}}$

6.136.

$\frac{q^{21}}{r^{15}}$

6.137.

$\frac{49 x^{6}}{81 y^{2}}$

6.138.

$\frac{9 x^{8}}{49 y^{2}}$

6.139.

$\frac{1}{a^{6}}$

6.140.

$\frac{1}{p^{15}}$

6.141.

$9 r^{18}$

6.142.

$\frac{2}{x}$

6.143.

$7 y^{6}$

6.144.

$6 z^{6}$

6.145.

$- \frac{9}{a^{5} b}$

6.146.

$\frac{−9 d}{c^{4}}$

6.147.

$\frac{2 a^{6}}{3 b^{2}}$

6.148.

$- \frac{3 q^{6}}{5 p^{8}}$

6.149.

$\frac{4 y^{2}}{7 x^{4}}$

6.150.

$\frac{5}{8 m^{5} n^{3}}$

6.151.

$2 a b^{2}$

6.152.

$−4 x y^{5}$

6.153.

$2 z^{2} + 6$

6.154.

$2 z^{2} - 3$

6.155.

$9 b^{2} - 11 b$

6.156.

$5 y^{2} - 11 y$

6.157.

$−5 y^{2} + 3 y$

6.158.

$−7 b^{2} + 3 b$

6.159.

$15 d^{4} + 6 d^{2}$

6.160.

$36 p^{4} - 8 p^{2}$

6.161.

$−4 a + 2 b$

6.162.

$8 a^{5} b + 6 a^{3} b^{2}$

6.163.

$5 x y + 3 y - 2 y^{2}$

6.164.

$5 a^{2} + 2 a^{2} b - 6 b^{2}$

6.165.

$3 c + 1 - \frac{3}{2 c}$

6.166.

$2 d - 1 - \frac{2}{5 d}$

6.167.

$y + 7$

6.168.

$m + 5$

6.169.

$2 x + 5$

6.170.

$3 x + 2$

6.171.

$x^{2} + 3 x + 2 + \frac{2}{x + 2}$

6.172.

$2 x^{2} + 6 x - 5 - \frac{3}{x + 1}$

6.173.

$x^{2} - 2 x + 7$

6.174.

$x^{3} - 8 x^{2} + 40 x - 200$

6.175.

$x^{2} + 4 x + 16$

6.176.

$25 x^{2} + 10 x + 4$

6.177.

ⓐ $\frac{1}{8}$ ⓑ $\frac{1}{10^{7}}$

6.178.

ⓐ $\frac{1}{9}$ ⓑ $\frac{1}{10,000}$

6.179.

ⓐ $p^{8}$ ⓑ $64$

6.180.

ⓐ $q^{7}$ ⓑ $16$

6.181.

ⓐ $\frac{81}{16}$ ⓑ $\frac{n^{2}}{36 m^{2}}$

6.182.

ⓐ $\frac{125}{27}$ ⓑ $\frac{16 b^{4}}{a^{4}}$

6.183.

ⓐ $\frac{1}{25}$ ⓑ $- \frac{1}{25}$ ⓒ 25 ⓓ $−25$

6.184.

ⓐ $\frac{1}{49}$ ⓑ $- \frac{1}{49}$ ⓒ 49 ⓓ $−49$

6.185.

ⓐ $2$ ⓑ $\frac{1}{18}$

6.186.

ⓐ 2 ⓑ $\frac{1}{256}$

6.187.

ⓐ $\frac{1}{y^{7}}$ ⓑ $\frac{1}{z^{15}}$

6.188.

ⓐ $\frac{1}{p^{9}}$ ⓑ $\frac{1}{q^{24}}$

6.189.

ⓐ $\frac{8}{p}$ ⓑ $\frac{1}{8 p}$ ⓒ $- \frac{1}{8 p}$

6.190.

ⓐ $\frac{1}{11 q}$ ⓑ $\frac{1}{11 q}$ $- \frac{1}{11 q}$ ⓒ $- \frac{11}{q}$

6.191.

ⓐ $x^{4}$ ⓑ $\frac{1}{y^{5}}$ ⓒ $\frac{1}{z^{9}}$

6.192.

ⓐ $a^{5}$ ⓑ $\frac{1}{b^{4}}$ ⓒ $\frac{1}{c^{15}}$

6.193.

$\frac{1}{p^{3} q^{3}}$

6.194.

$\frac{1}{r^{2} s^{8}}$

6.195.

$\frac{30 d^{3}}{c^{8}}$

6.196.

$\frac{1}{16 x^{8}}$

6.197.

$\frac{1}{16 b^{12}}$

6.198.

$\frac{64}{a^{8}}$

6.199.

$\frac{8}{c^{12}}$

6.200.

$x^{11}$

6.201.

$y^{14}$

6.202.

$9.6 \times 10^{4}$

6.203.

$4.83 \times 10^{4}$

6.204.

$7.8 \times 10^{−3}$

6.205.

$1.29 \times 10^{−2}$

6.206.

1,300

6.207.

92,500

6.208.

0.00012

6.209.

0.075

6.210.

0.06

6.211.

0.009

6.212.

400,000

6.213.

20,000

Verkefni úr hluta 6.1

ⓐ þríliða ⓑ margliða ⓒ tvíliða ⓓ einliða ⓔ tvíliða

ⓐ tvíliða ⓑ þríliða ⓒ margliða ⓓ þríliða ⓔ einliða

ⓐ 2 ⓑ 4 ⓒ 1 ⓓ 3 ⓔ 0

ⓐ 1 ⓑ 2 ⓒ 3 ⓓ 3 ⓔ 0

$12 x^{2}$

11.

$6 w$

13.

$−5 a$

15.

$40 x$

17.

$−22 b$

19.

$−10a + 5 b$

21.

$−4 a^{2} + b^{2}$

23.

$x y^{2} - 5 x - 5 y^{2}$

25.

$a^{2} b - 4 a - 5 a b^{2}$

27.

$12a + 8 b$

29.

$−4 a - 3 b$

31.

$−17 x^{6}$

33.

$11 y^{2} + 4 y + 11$

35.

$−3 x^{2} + 17 x - 1$

37.

$11 x^{2} - 5 x + 5$

39.

$6 a^{2} - 4 a - 1$

41.

$2 m^{2} - 7 m + 4$

43.

$11 a + 3$

45.

$12 s^{2} - 16 s + 9$

47.

$3 x^{2} - x + 4$

49.

$w^{2} + 3 w + 4$

51.

$2 p^{3} + p^{2} + 9 p + 10$

53.

$8 a^{3} + a^{2} - 2 a + 12$

55.

$11 w - 66$

57.

$12 c - 45$

59.

$10 x^{2} - 7 x y + 6 y^{2}$

61.

$10 m^{2} + 3 m n - 8 n^{2}$

63.

$−3 a b + 3 b^{2}$

65.

$4 u v + 2 v^{2}$

67.

$p^{3} - 6 p^{2} q + p q^{2} + 4 q^{3}$

69.

$x^{3} + 2 x^{2} y - 5 x y^{2} + y^{3}$

71.

ⓐ 187 ⓑ 40 ⓒ 2

73.

ⓐ −104 ⓑ 4 ⓒ 40

75.

77.

$10,800

79.

81.

$58

83.

149

85.

Svör geta verið mismunandi.

87.

Svör geta verið mismunandi.

Verkefni úr hluta 6.2

89.

ⓐ 10,000 ⓑ 17 ⓒ $\frac{4}{81}$ ⓓ 0.125

91.

ⓐ 512 ⓑ 8 ⓒ $\frac{27}{64}$
ⓓ 0.064

93.

ⓐ 64 ⓑ $−64$

95.

ⓐ $- \frac{4}{9}$ ⓑ $\frac{4}{9}$

97.

ⓐ $−0.0001$ ⓑ 0.0001

99.

$x^{6}$

101.

$q^{42}$

103.

ⓐ $3^{16}$ ⓑ $5^{5}$

105.

ⓐ $w^{6}$ ⓑ $u^{94}$

107.

$y^{9}$

109.

$c^{18}$

111.

$n^{y + 2}$

113.

$x^{p + q}$

115.

ⓐ $b^{14}$ ⓑ $3^{16}$

117.

ⓐ $x^{2 y}$ ⓑ $7^{a b}$

119.

ⓐ $25 x^{2}$ ⓑ $16 a^{2} b^{2}$

121.

ⓐ $−343 n^{3}$ ⓑ $81 x^{4} y^{4} z^{4}$

123.

ⓐ $w^{22}$ ⓑ $32 x^{5} y^{20}$

125.

ⓐ $−1000 q^{6} p^{12}$ ⓑ $n^{40}$

127.

ⓐ $48 y^{4}$ ⓑ $25,000 k^{24}$

129.

ⓐ $432 b^{5}$ ⓑ $\frac{1}{200} j^{16}$

131.

ⓐ $128 r^{8}$ ⓑ ${27 x}^{29}$

133.

$−18 y^{11}$

135.

$72 u^{7}$

137.

$4 f^{11}$

139.

$36 a^{5} b^{7}$

141.

$8 r^{2} s^{5}$

143.

$\frac{1}{2} x^{3} y^{3}$

145.

$x^{14}$

147.

$a^{36}$

149.

$8 m^{18}$

151.

$1000 x^{6} y^{3}$

153.

$16 a^{12} b^{8}$

155.

$\frac{8}{27} x^{6} y^{3}$

157.

$1024 a^{10}$

159.

$25000 p^{24}$

161.

$x^{18} y^{18}$

163.

$144 m^{8} n^{22}$

165.

$1,000,000$

167.

$168.07

169.

Svör geta verið mismunandi.

171.

Svör geta verið mismunandi.

Verkefni úr hluta 6.3

173.

$4 w + 40$

175.

$−3 a - 21$

177.

$2 x - 14$

179.

$−3 k + 12$

181.

$q^{2} + 5 q$

183.

$− b^{2} - 9 b$

185.

$− x^{2} + 10 x$

187.

$24 r^{2} + 6 r s$

189.

$12 x^{2} - 120 x$

191.

$−27 a^{2} - 45 a$

193.

$3 p^{2} + 30 p + 75$

195.

$−8 x^{3} - 16 x^{2} + 120 x$

197.

$5 q^{6} - 10 q^{4} + 30 q^{3}$

199.

$−8 y^{3} - 16 y^{2} + 120 y$

201.

$5 q^{5} - 10 q^{4} + 30 q^{3}$

203.

$−12 z^{4} - 48 z^{3} + 4 z^{2}$

205.

$2 m^{2} - 9 m$

207.

$8 w - 48$

209.

$4 x + 40$

211.

$15 r - 360$

213.

$−3 m - 33$

215.

$−8 z + 40$

217.

$u^{2} + 5 u$

219.

$n^{3} - 3 n^{2}$

221.

$24 x^{2} + 6 x y$

223.

$55 p^{2} - 25 p q$

225.

$3 v^{2} + 30 v + 75$

227.

$8 n^{3} - 8 n^{2} + 2 n$

229.

$−8 y^{3} - 16 y^{2} + 120 y$

231.

$5 q^{5} - 10 q^{4} + 30 q^{3}$

233.

$−12 z^{4} - 48 z^{3} + 4 z^{2}$

235.

$2 y^{2} - 9 y$

237.

$w^{2} + 12 w + 35$

239.

$p^{2} + 7 p - 44$

241.

$x^{2} + 11 x + 24$

243.

$y^{2} - 8 y + 12$

245.

$w^{2} + 3 w - 28$

247.

$p^{2} + 7 p - 60$

249.

$6 p^{2} + 11 p + 5$

251.

$20 t^{2} - 88 t - 9$

253.

$15 x^{2} - 3 x y - 30 x + 6 y$

255.

$2 a^{2} + 5 a b + 3 b^{2}$

257.

$4 z^{2} - 24 z - z y + 6 y$

259.

$x^{3} + 2 x^{2} + 3 x + 6$

261.

$x^{4} + 3 x^{2} - 40$

263.

$10 a^{2} b^{2} + 13 a b - 3$

265.

$24 p^{2} q^{2} - 42 p q + 15$

267.

$x^{3} + 9 x^{2} + 23 x + 15$

269.

$4 y^{3} + 33 y^{2} + y - 56$

271.

$w^{3} - 16 w^{2} + 73 w - 70$

273.

$3 q^{3} - 11 q^{2} - 19 q - 5$

275.

$14 y - 13$

277.

$−11 x - 28$

279.

$15 q^{3} - 30 q^{2} + 55 q$

281.

$s^{2} + 2 s - 63$

283.

$y^{3} - y^{2} - 2 y$

285.

$3 n^{3} - n^{2} - 25 n + 28$

287.

$49 p^{2} - 100$

289.

$4 m^{4} - 3 m^{3} - 7 m^{2}$

291.

$25 a^{2} + 70 a b + 49 b^{2}$

293.

$16 y^{2} - 144 z^{2}$

295.

ⓐ 306 ⓑ 306 ⓒ Svör geta verið mismunandi.

297.

Svör geta verið mismunandi.

299.

Svör geta verið mismunandi.

301.

Svör geta verið mismunandi.

Verkefni úr hluta 6.4

303.

$q^{2} + 24 q + 144$

305.

$x^{2} + \frac{4}{3} x + \frac{4}{9}$

307.

$y^{2} - 12 y + 36$

309.

$p^{2} - 26 p + 169$

311.

$16 a^{2} + 80 a + 100$

313.

$9 z^{2} + \frac{6}{5} z + \frac{1}{25}$

315.

$4 y^{2} - 12 y z + 9 z^{2}$

317.

$\frac{1}{64} x^{2} - \frac{1}{36} x y + \frac{1}{81} y^{2}$

319.

$25 u^{4} + 90 u^{2} + 81$

321.

$64 p^{6} - 48 p^{3} + 9$

323.

$c^{2} - 25$

325.

$b^{2} - \frac{36}{49}$

327.

$64 j^{2} - 16$

329.

$81 c^{2} - 25$

331.

$169 - q^{2}$

333.

$16 - 36 y^{2}$

335.

$49 w^{2} - 100 x^{2}$

337.

$p^{2} - \frac{16}{25} q^{2}$

339.

$x^{2} y^{2} - 81$

341.

$r^{2} s^{2} - \frac{4}{49}$

343.

$36 m^{6} - 16 n^{10}$

345.

$225 m^{4} - 64 n^{8}$

347.

ⓐ $4 r^{2} + 48 r + 144$ ⓑ $9 p^{2} - 64$ ⓒ $7 a^{2} - 48 a b - 7 b^{2}$ ⓓ $k^{2} - 12 k + 36$

349.

ⓐ $x^{10} - y^{10}$ ⓑ $m^{6} - 16 m^{3} n + 64 n^{2}$ ⓒ $81 p^{2} + 144 p q + 64 q^{2}$ ⓓ $r^{5} + r^{2} s^{2} - r^{3} s^{3} - s^{5}$

351.

ⓐ 4,225 ⓑ 4,225 ⓒ Svör geta verið mismunandi.

353.

Svör geta verið mismunandi.

355.

Svör geta verið mismunandi.

Verkefni úr hluta 6.5

357.

ⓐ $y^{10}$ ⓑ $7^{14}$

359.

ⓐ $u^{21}$ ⓑ $9^{10}$

361.

ⓐ $\frac{1}{t^{30}}$ ⓑ $\frac{1}{64}$

363.

ⓐ $\frac{1}{x^{6}}$ ⓑ $\frac{1}{100}$

365.

ⓐ 1 ⓑ 1

367.

ⓐ $−1$ ⓑ $−1$

369.

ⓐ 1 ⓑ 6

371.

ⓐ 7 ⓑ 1

373.

ⓐ $−7$ ⓑ 0

375.

ⓐ $\frac{4}{25}$ ⓑ $\frac{x^{4}}{81}$ ⓒ $\frac{a^{5}}{b^{5}}$

377.

ⓐ $\frac{x^{3}}{8 y^{3}}$ ⓑ $\frac{10,000}{81 q^{4}}$

379.

$p^{7}$

381.

$x^{5}$

383.

385.

$\frac{1}{n^{16}}$

387.

$q^{18}$

389.

$\frac{1}{m^{12}}$

391.

$\frac{a^{3}}{b^{18}}$

393.

$\frac{y^{20}}{z^{50}}$

395.

$\frac{27 m^{15}}{125 n^{3}}$

397.

$\frac{625 u^{28}}{16 v^{^{12}}}$

399.

$j^{9}$

401.

$\frac{1}{q^{8}}$

403.

$64 k^{6}$

405.

$−4,000$

407.

$7 v^{8}$

409.

$−6 u^{8}$

411.

$- \frac{3 x^{3}}{y^{12}}$

413.

$\frac{2 m^{3}}{3 n^{5}}$

415.

$\frac{−3 y^{3}}{4 x^{3}}$

417.

$\frac{65 a^{3} b^{2}}{42 c^{3}}$

419.

$\frac{−3 q^{5}}{p^{5}}$

421.

$\frac{5 v^{4}}{u^{2}}$

423.

425.

ⓐ $q^{8}$ ⓑ $q^{15}$

427.

ⓐ $z$ ⓑ $\frac{1}{z}$

429.

$6 y^{6}$

431.

$15 c^{6}$

433.

$3 x^{2}$

435.

$− y z^{2}$

437.

$10^{3}$

439.

Svör geta verið mismunandi.

441.

Svör geta verið mismunandi.

Verkefni úr hluta 6.6

443.

$6 b + 15$

445.

$6 x^{2} - 2 x$

447.

$11 w - 2$

449.

$4 x^{2} + 3 x$

451.

$−5 b^{2} + 3 b$

453.

$−17 m^{4} - 24 m^{3}$

455.

$103 z^{5} - 12 z^{2}$

457.

$17 y^{2} + 14$

459.

$−5 x^{3} + 3$

461.

$−6 y^{2} + 3 y$

463.

$9 x^{2} y^{3} + 12 y$

465.

$7 c - 10 c^{2} d - 5 c d^{2}$

467.

$6 r^{3} + 11 r^{2} s - 8 r s^{3}$

469.

$4 q + 1 - \frac{1}{3 q}$

471.

$−5 y - 3 + \frac{1}{4 y}$

473.

$7 a - 12 + \frac{11}{a}$

475.

$d + 6$

477.

$a - 7$

479.

$x - 7$

481.

$4 x + 3$

483.

$p + 3 - \frac{8}{p + 8}$

485.

$x + 7 + \frac{5}{x - 5}$

487.

$2 n^{2} - 6 n + 8$

489.

$7 q^{2} + 7 q + 2$

491.

$m^{2} - 10 m + 100$

493.

$x^{2} + 6 x + 36$

495.

$25 y^{2} + 20 x + 16$

497.

499.

Svör geta verið mismunandi.

Verkefni úr hluta 6.7

501.

ⓐ $\frac{1}{81}$ ⓑ $\frac{1}{100}$

503.

ⓐ $\frac{1}{256}$ ⓑ $\frac{1}{100}$

505.

ⓐ $c^{5}$ ⓑ 25

507.

ⓐ $t^{9}$ ⓑ 10000

509.

ⓐ $\frac{100}{9}$ ⓑ $- \frac{c^{3} d^{3}}{8}$

511.

ⓐ $\frac{8}{343}$ ⓑ $- \frac{x^{3} y^{6}}{27}$

513.

515.

517.

ⓐ $\frac{2}{5}$ ⓑ $\frac{1}{10}$

519.

ⓐ $\frac{3}{16}$ ⓑ $\frac{1}{144}$

521.

ⓐ $\frac{1}{b^{5}}$ ⓑ $\frac{1}{k^{10}}$

523.

ⓐ $\frac{1}{s^{8}}$ ⓑ $\frac{1}{a^{90}}$

525.

527.

529.

531.

533.

$\frac{1}{x}$

535.

$\frac{1}{m^{2} n^{4}}$

537.

$\frac{1}{p^{5} q^{7}}$

539.

$- \frac{14 k^{5}}{j^{3}}$

541.

$- \frac{40 n^{3}}{m}$

543.

$\frac{1}{64 y^{9}}$

545.

$\frac{4}{p^{10}}$

547.

$n^{7}$

549.

$y^{5}$

551.

$3.4 \times 10^{5}$

553.

$1.29 \times 10^{6}$

555.

$4.1 \times 10^{−2}$

557.

$1.03 \times 10^{−6}$

559.

830

561.

16,000,000,000

563.

0.038

565.

0.0000193

567.

0.02

569.

$0.0000056$

571.

500,000,000

573.

20,000,000

575.

$6.85 \times 10^{9}$ .

577.

$5.7 \times 10^{−9}$

579.

15,000,000,000,000

581.

0.00001

583.

$1.545 \times 10^{8}$

585.

587.

svör geta verið mismunandi

Upprifjunarverkefni

589.

591.

593.

$5 k$

595.

$−27 c$

597.

$7 n^{2}$

599.

$13a + b$

601.

$13 p^{2} - 5 p - 1$

603.

$7 y^{2} - 9 y + 4$

605.

$5 a^{3} + a^{2} + 6 a + 2$

607.

609.

12,000

611.

613.

0.125

615.

$−64$

617.

$p^{31}$

619.

$8^{6}$

621.

$y^{c + 3}$

623.

$5^{6}$

625.

$3^{r s}$

627.

$−125 y^{3}$

629.

$1000 x^{3} y^{3} z^{3}$

631.

$64 a^{9} b^{6}$

633.

$144 q^{14}$

635.

$\frac{8}{125} m^{6} n^{3}$

637.

$144 n^{8}$

639.

$15 a^{2} b^{5}$

641.

$−4 y - 52$

643.

$p^{2} + 3 p$

645.

$−12 u^{2} - 42 u$

647.

$9 q^{4} - 63 q^{3} + 54 q^{2}$

649.

$11 b - 44$

651.

653.

$y^{2} - 12 y + 32$

655.

$q^{2} + 13 q - 48$

657.

$u^{4} + u^{2} - 30$

659.

$16 m^{2} n^{2} - 2 m n - 3$

661.

ⓐ $18 x^{3} - 21 x^{2} - 34 x + 40$ ⓑ $18 x^{3} - 21 x^{2} - 34 x + 40$

663.

$7 m^{3} - 69 m^{2} - 31 m - 3$

665.

$q^{2} - 30 q + 225$

667.

$64 u^{2} + 16 u + 1$

669.

$16 a^{2} - 24 a b + 9 b^{2}$

671.

$y^{2} - \frac{4}{25}$

673.

$36 - r^{2}$

675.

$25 p^{8} - 16 q^{6}$

677.

$36 a^{2} - 121$

679.

$c^{8} + 18 c^{4} d + 81 d^{2}$

681.

$4 a^{3} - a^{2} b^{2} + 16 a b - 4 b^{3}$

683.

$10^{20}$

685.

$\frac{1}{v^{36}}$

687.

$\frac{1}{5^{7}}$

689.

691.

−1

693.

695.

697.

$\frac{m^{4}}{81}$

699.

$\frac{x^{6}}{64 y^{6}}$

701.

703.

$r^{20}$

705.

$\frac{243 x^{20}}{32 y^{10}}$

707.

$- \frac{10,125 n^{10}}{4}$

709.

$- \frac{4 b^{6}}{a^{5}}$

711.

$\frac{9 p}{2}$

713.

$7 x - 15$

715.

$55 p^{3} - 30 p$

717.

$12 a^{4} - 6 a^{3} b - 7 a b^{2}$

719.

$21 y^{2} + 10 - \frac{1}{y^{2}}$

721.

$v - 8$

723.

$n - 6 + \frac{4}{n + 3}$

725.

$u^{2} + 2 u + 4$

727.

$- \frac{1}{125}$

729.

$\frac{1}{216 u^{3}}$

731.

$\frac{16}{9}$

733.

$\frac{1}{q^{11}}$

735.

$\frac{1}{y^{8}}$

737.

$\frac{1}{a^{4}}$

739.

$r$

741.

$4.29 \times 10^{−3}$

743.

$7.2 \times 10^{9}$

745.

$15,000,000,000$

747.

$0.55$

749.

$0.0217$

751.

$0.0000003$

Æfingapróf

753.

$15 a^{2} + a - 6$

755.

$- \frac{8}{125}$

757.

$16 a^{6} b^{10}$

759.

$3 k^{3} - 21 k^{2} + 39 k$

761.

$9 v^{2} - 86 v + 45$

763.

$n^{3} - 11 n^{2} + 34 n - 24$

765.

$49 p^{2} - 25$

767.

$\frac{1}{9}$

769.

$1$

771.

$6 x + 21 - \frac{3}{x}$

773.

$16 x^{2} + 4 x + 1$

775.

$\frac{1}{25}$

777.

$\frac{1}{q^{9}}$

779.

$8.3 \times 10^{7}$

781.

74,800

783.

424 fet