19題13既數@@係掂先好入@@''送10點

2011-09-25 10:14 pm
因為我d點數好少,,所以只係送得10點

21)a^3(a^4)^2

22)(-b^3)^7b^5

23)(-c^5)^2 over c^11

24)16d^10 over (-2d^2)^4

25我識做唔洗幫拉...

26)(-3a^2)^0

27)a(2b^3)^0

28)c^2開大括號-5c overc^3閂大括號^0
28題留意個負號,個負號係係個over線格來咖

29)(-5)^-2

30)開大括號-3over2閂大括號^-3
留意個負號,亦都係係over線格來><

31)2p^-1over p^-5

32)q^4(-q^-6)

33)(3^-1m^3)^2

34)(2n^-4)^-3

35)(m^-1n^3)^-2

36)(-m^-2n^-1)^-2

37)a^-3(a^5b^-2)

38)a^4(-a^-2b^-1)^2

39)a^b^-4over a^-2 b^-3

40)(-2a^-1)^-4 over 2a^4

幫下手><!!!因為我真係試搵例題做,但冇例題><所以冇能力= =

回答 (3)

2011-09-25 10:49 pm
✔ 最佳答案
21)
a^3 (a^4)^2
= a^3 a^(4´2)
= a^3 a^8
= a^(3+8)
= a^11

22)
(-b^3)^7 b^5
= -b^(3´7) b^5
= -b^21 b^5
= -b^(21+5)
= -b^26

23)
(-c^5)^2 / c^11
= (-1)^2 c^(5´2) / c^11
= c^10 / c^11
= c^(10-11)
= c^-1
= 1/c

24)
16d^10 / (-2d^2)^4
= 16d^10 / [(-2)^4 d^(2´4)]
= 16d^10 / (16d^8)
= d^(10-8)
= d^2

26)
(-3a^2)^0
= 1 (任何唔係 0 嘅數嘅 0 次方都係 1)

27)
a (2b^3)^0
= a ´ 1
= a

28)
c^2 (-5c / c^3)^0
= c^2 ´ 1
= c^2

29)
(-5)^-2
= 1 / (-5)^2
= 1/25

30)
(-3/2)^-3
= (-2/3)^3
= [(-1)^3 (2^3 / 3^3)]
= -8/27

31)
2p^-1 / p^-5
= 2p^[-1-(-5)]
= 2p^4

32)
q^4 (-q^-6)
= -q^[4+(-6)]
= -q^-2
= 1/q^2

33)
(3^-1 m^3)^2
3^(-1´2) m^(3´2)
= 3^-2 m^6
= (1/3^2) m^6
= (m^6) / 9

34)
(2n^-4)^-3
= 2^-3 n^[(-3)´(-4)]
= (1/2^3) n^12
= (n^12) / 8


35)
(m^-1 n^3)^-2
= m^[(-1)´(-2)] n^[3´(-2)]
= m^2 n^-6
= m^2 / n^6


36)
(-m^-2 n^-1)^-2
= (-1)^-2 m^[(-2)´(-2)] n^[(-1)´(-2)]
= m^4 n^2


37)
a^-3 (a^5 b^-2)
= a^(-3+5) b^-2
= a^2 (1/b^2)
= a^2 / b^2


38)
a^4 (-a^-2 b^-1)^2
= a^4[(-1)^2 a(-2´2) b(-1´2)]
= a^4 (a^-4 b^-2)
= a^(4-4) b^-2
= a^0 (1/b^2)
= 1/b^2


39)
a^b^-4 / (a^-2 b^-3)
a^ 甚麼?


40)
(-2a^-1)^-4 / 2a^4
{(-2)^-4 a^[(-1)´(-4)] / 2a^4
= (2^-4 a^4) / 2a^4
= 2^(-4-1) a^(4 - 4)
= 2^-5
= 1/32

2011-09-30 13:53:17 補充:
若不是 Tracy 的抄襲,我也看不到第 40 題打漏了等號和關括號。
第 40 題的第二行應是:
= {(-2)^-4 a^[(-1)x(-4)]} / 2a^4
參考: 賣女孩的火柴, 賣女孩的火柴
2011-09-30 9:57 pm
To Tracy:
全部一字不改的抄襲人家,還說是參考自己,太無恥了吧!
2011-09-29 4:12 am
21)
a^3 (a^4)^2
= a^3 a^(4´2)
= a^3 a^8
= a^(3+8)
=a^11

22)
(-b^3)^7 b^5
= -b^(3´7) b^5
= -b^21 b^5
= -b^(21+5)
=-b^26

23)
(-c^5)^2 /c^11
= (-1)^2 c^(5´2) / c^11
= c^10 / c^11
= c^(10-11)
= c^-1
=1/c

24)
16d^10 /(-2d^2)^4
= 16d^10 / [(-2)^4 d^(2´4)]
= 16d^10 / (16d^8)
= d^(10-8)
=d^2

26)
(-3a^2)^0
=1 (任何唔係 0 嘅數嘅 0 次方都係 1)

27)
a (2b^3)^0
= a ´1
=a

28)
c^2 (-5c / c^3)^0
= c^2 ´1
=c^2

29)
(-5)^-2
= 1 / (-5)^2
=1/25

30)
(-3/2)^-3
= (-2/3)^3
= [(-1)^3 (2^3 / 3^3)]
=-8/27

31)
2p^-1 / p^-5
= 2p^[-1-(-5)]
=2p^4

32)
q^4 (-q^-6)
= -q^[4+(-6)]
=-q^-2
= 1/q^2

33)
(3^-1 m^3)^2
3^(-1´2) m^(3´2)
= 3^-2 m^6
= (1/3^2) m^6
=(m^6) / 9

34)
(2n^-4)^-3
= 2^-3 n^[(-3)´(-4)]
= (1/2^3) n^12
=(n^12) / 8


35)
(m^-1 n^3)^-2
= m^[(-1)´(-2)] n^[3´(-2)]
= m^2 n^-6
=m^2 / n^6


36)
(-m^-2 n^-1)^-2
= (-1)^-2 m^[(-2)´(-2)] n^[(-1)´(-2)]
=m^4 n^2


37)
a^-3 (a^5 b^-2)
= a^(-3+5) b^-2
= a^2 (1/b^2)
= a^2 / b^2


38)
a^4 (-a^-2 b^-1)^2
= a^4[(-1)^2 a(-2´2) b(-1´2)]
= a^4 (a^-4 b^-2)
= a^(4-4) b^-2
= a^0 (1/b^2)
=1/b^2


39)
a^b^-4 / (a^-2 b^-3)
a^b是 甚麼?


40)
(-2a^-1)^-4 / 2a^4
{(-2)^-4 a^[(-1)´(-4)] / 2a^4
= (2^-4 a^4) / 2a^4
= 2^(-4-1) a^(4 - 4)
= 2^-5
= 1/32
參考: Tracy


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