ページ1:

Date.
Pangkat
bilangan berpangkat
PANGKAT BILANGAN BULAT PSTF Sifat-sifat operasi
azaxaxax... a
m n
15409 x9= a
PANGKAT BILANGAN BULAT NEGATIF
M+n
3 3 3+2
ex: 4 x4 =
5
ex: 3×3×3×3b=3°
= 4
= 4
a
2. 5
a+2+5+b
= 39+7+5
-n
a=
an
n
a =a
(axb
n
= ax
xa
ex: 65 = (2×3) 5 = 25 × 35
ex:((-1) x 5) = (-1) x 5'
b
b
b
PANGKAT BILANGAN NOL
ba
4
O ex:
2
16
a
a=0 maka tidak didefinisikn
39
8
ex: 6
=
PANGKAT BILANEAN PECAHAN
m n
a: a
35
6
358
3-1
m
an=
am
= a
10
10-3
ex: 5
ST
5
53
=
51
BILANGAN PECAHAN BERPANE- an a
KAT BILANGAN BULAT.
n
n
-n
n
b
a
n
mxn
34 3x4
ex: (2³) = 2
ex:
11
2
95 = (3² 15 = 310
ama
ex: 3/2 = 21
ex: √3 = 3
0
12
ex: 3√√8 = 8
2
=
(23)
=0
2
deliЛ

ページ2:

Date.
ab=ax√√b
Ex: √3x6 = √3 × √6
ma
a-wa
ex:36=56
ex: √√2x5 = 5√2 × 5√5
ex: 3√√16 = 15/16
operasi Penjumlahan
a.x+b.x=(a+b)xa
10
ex: 3.2 +5.2 = 3.2"
Pengurangan
10
(a-b)x
a.x-b.x
10+1
10
+5.2
ex: 3.2"-5.20 = 3.2 -5.2
10+1
10
10
10
10
10
10
110
= 3.1.2 +5.2
10
= 6.2 +5.2
10
=11.201
= 3.2.2-5.2
10
10
=6.2-5.2
= (6-5)2
10 10
= 1-2 = 2
Persamaan eksponen
F(X)
C
a
=a maka f(x) = t
X
10
ex: '
= 2
x
= 10
ex: 3
= 27
3 = 3
X = 3
3
= 32
-5
= 2
= -5 +1
= -4
= -4
3
I
32=25
32 25
3x-1
ex: 2
25
3x-1
3 x
3x
×

ページ3:

akar
Pengertian
PENTIAN BENTUK AKAR
Vam
= a
ex: √ = 3√3 = (23)
2.
ex: √64: √82 = (83) 8
operasi
PENJUMLAHAN DAN PENEURAN
a√x+b√x = (a+b)√x
C
kosong = 1
ex: 4√3 + √3 = 5√3
ex: √2+10√2-4√√2=7√√2
PENYEDERHANAAN
Jaxb = √ax√b
ex: √75 √25×3 = 5√3
ex: √162 = √√01×2 = 9√2
a√x-b√x=(a+b)√x
ex:7√2-4√2 = 3√√2
ex: 11√7-6√√√7=6√7
PERKALIAN BENTUK AKAR
ex: 4√3x5 = 20√3
ex: ±√√5×24 = 12√5
2
a√9xb√z = ab√yz
ex: 5√√2 × √12=5√24 = 5√49.6
10
10√6
=96√10
ex: 4√6x2√3x4√5:32√90=32√9.10
ex: 6√3xx5=30 √3
= 15√3
ex: √3× √3 = 3
ex: 4√(√2+10√√3) = 4√10 +40 √15
ex: √3 (√2+√5)=√6+√15
ex: √3 (6√2+√3-√2)=√3 (5√2+ √3)
= 5√6+√9
1
= 5√√√6+3
delin

ページ4:

Ja (√b-JE)=√ax √b-√b-Jax√c
ex: √3 (√2-√7)=√6-√21
ex: 6√3 (10√2-4√3-√5)=60√6-24√9-6√15
= 60√6-72-6√15
ex: 4√6 (3√12-√TQ +2√2 = 4√6 (6√√13-3√2+2√2)
= 4√6 (6√3-√2)
= 24√18-4√12
=72√2-8√3
PERKALIAN SUKU DUA BENTUK AKAR
(a+b)(√E+√d) - Jac + √ad + √bc + √be
ex: (√8+ √2) (√6+ √3) = √48 +√24+ √12+√6.
= 4√3+2√6+2√3+√√5
=6√3+3√6
ex: (2√√2+3 √5) (√5-4√2)=2√10-8√4+3√25-12 √TO
=2√10-16 +15-12√10
2.
= 10 √10-1
√a-√b)² = (√a)² - 2 √√ab + (√b) 2
2
ex:(√5-√3)²= (√5)² - 2√√√3+ (√√3)²
1201 = 5-2√15+3
= 8-2√√15
ex:(6√√2-4√3)(√2-5√3) = 6√4-30√√6-4√6+20√9
= 12-30√√6-9√6+60
72-34√6

ページ5:

Date
(√a+√6)² = (√α)² + 2 √00+ (√612)
ex: (√3+√5)² = (√3)²+2√3.5+ (√5)²
=3+2√15+5
= 0 + 2√√15
PEMBAGIAN
Ja:√6-Jab
ex:36
3√4
ex: (2√3+√2)=(2√3)² +2.2√3.√2+ (√2)²
= 4.3+4√6+2
=12+4√6+2
= 14+4√6+2
= 14+4√6
(Ja-√6)²= (√a)² - 2 √96 + (√√6)
ex: (√5-√√3)=(√5)² -2√5√3+ (√3)²
= 5 - 2√15 +3
= 8-2√15
ex: (2√6-√2)=(2√6)² -2.2√6.√2+(√2)²
= 4.6 -4√√2 +2
= 24-8√3+2
=26-8√3
(Ja + √6) (√a-√6)=(√α) √(√6)
ex: (√13 +√2) (√3-√√2)=(√3)²-(√√2)²
T 3 - 2
=
36 3√9=3
4
=
ex: (4√5-2√2) (4√5+2√2) = 4√5" - (2√√2)²
= 16.5-4.2
=
20 - 8
= 72
a+√ove-√d) = (ac_√ad + √befo
ex: (√2 +√6) (√3-√12)=√23-√√2.12 +√8.3-√8.12
=√6-√24 +√24-√96
=56-456
=-3√√√5

ページ6:

Dote.
merasionalkan
ex: 5
7 5√7
=
7
2
=
ex: 10 x√5 10√5 2√5
3√5 √5
a
=
3.5
3
√6-JE
√6-JC
ex: 9
(2-√7)
9(2-√7)
x
(2+√9)
(2-√7)
4-7
√o-√c
X
=9(2-√7)
-X
H
1
-3 (2-√7)
-6+3√7
ex:
7
(√5+√3)
X
=
(√5-√3) (√5+√3)
1
7(√5+√3)
5-3
= 7(√5+√3)
2.
1√5 +1√3)
2.
deliЛ