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2
2
Ŀ
1.
a+b=b+a

2.
(a+b)+c=a+(b+c)

3.
ab=ba

4.
(ab)c=a(bc)=b(ac)

5.
(a+b)c=ac+bc

6.
a=b, a+c=b+c
7.
a=b c7-00 ac=bc

2
Ŀ
1.
a-b=c, a=b+c

2.
a-b=a+(-b)

3.
a-(b-c)=a-b+c

4.
a:b=c, a=bc

5.
a=b, a-c=b-c
6.
a=b c7-00, a:c=b:c

2

Ŀ
1.
a+0=0+a=a

2.
a7&01=17&0a=a
󠠠
3.
a7&00=07&0a=0

4.
0:a=0 (a7-00)


2
Ŀ
1.
_a. __. _c.,
ad=bc(b7-00,d7-00)

b
d
2.
_a. __. _am., (m7-00)

b
bm
3.
_a. _c. __. _ad+bc. 蠠
b
d bd
4.
_a. _ . _c. __. _ad-bc.
b
d bd
5.
_a. _c. __. _ac.

b
d bd
6.
_a. _c. __. _ad.

b
d bc

2

Ŀ
1.
a520-b520=(a+b)(a-b)

2.
(a+b)520=a520+2ab+b520
3.
(a-b)520=a520-2ab+b520 蠠
4.
(a+b)530=a530+3a520b+3ab520+b530

5.
(a-b)530=a530-3a520b+3ab520-b530 蠠

6.
a530+b530=(a+b)(a520-ab+b520) ⠠

7.
a530-b530=(a-b)(a520+ab+b520) ⠠


2
Ŀ
4n7|\0
1.
7 ?0a = b, a=b5n0 (a7.00, b7.00)2 0

7(4n7|\4 7)4n0

2.
72?0 a 720 = a (a7.00)

79
00
3.5
4m7|\4 m7|\0

7?0-a = -7?0 a (m=2n-1,a7.00

4.4
n7|\\ 4n7|\4 n7|\0 砠
7?0 ab =7 ?0 a7 & ?0 b (a7.00,
b7.00)

5.4
n0 7|\ 4n7|\0

7/0 _a. __.7 _? 0a. (a7.00, b>0) 砠

7?0
b7 4n7|\0 
7?0 b

6.4
n7|\\\\\4 n7|\\0
7?0 a5np+q0 = a5p7?0 a5q0
(a7.00)



4n7|\\\0
7.7
/4 m7|\0 =4 nm7|\0

7?
?0 a7 ?0 a (a7.00)

2
Ŀ
1.
5n0 = a*a ........ a C

2.
500 = 17 0(7 -0 0)

3.
510 = ࠠ

4.
5-n0 = 1/5n0 ( 7-0 0)

5p7|\\0
5.
5p/q0=7?0a5q0 (a > 0) C 젠
6.
5n0 * a5m 0= a5n+m0


7.
5n0 : a5m0 = a5n-m0


8.
(*b)5n0 = 5n0 * b5n0


9.
(:b)5n0 = 5n0 : b5n0


10.
(5n0)5m0 = 5nm0


2
Ŀ

log4a5x0 x>0; a>0; a7-01
峠 a
= x


Ĵ

log4a0xy = log4a0x + log4a0y
x>0; y>0


Ĵ
log4a0xy=log4a0|x| +
log4a0|y| xy>0
Ĵ

_x. __.

log4a0 y log4a0x -
log4a0y x>0; y>0

Ĵ
_x. __.

log4a0 y log4a0|x| - log4a0|y| xy>0
Ĵ

log4a0x5n0 = n(log4a0x)
x>0

Ĵ
log4a0x52n0 =
2n(log|x|) x7-00
Ĵ

__. _log4b0x.

log4a0x log4b0a b>0; b7-01




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