Birhadlarni ko’paytirish
![MAVZU :
« BIRHA DLARN I KO’PAY TIRISH »](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_1.png)
![X at oni t oping!
1)5 5 5 5=4∙ ∙ ∙ 5
2)(-3) 2
=-3 3=-9
∙
3)7 1
=1
4)(х 2
) 3
(х 4
) 2
=(х 6
) 5
=х 30
5)2 3
2 7
=2 21
6)2 3
2 7
=4 10
7)2 3
+2 7
=2 10
8)2 30
:2 10
=2 3
9)(2х) 3
=2х 3
10)(х 3
) 2
=х 9
11)0 0
=15 4
9
7
Ma’nog
a ega
emas2 10 2 10
13
6
2 20
8х 3
х 6х 14](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_2.png)
![Birhadlarga bo’la oladimi ?
х 2
х-1,7х у 2
х +у-с х 2
у -3у15/х 5
0,72(х +у ) 2
х 20
0](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_3.png)
![Birhadlarning darajasini aniqlang v a
k oeffi sient ini ay t ing :
-8х 7хс 4
у 5
67
-4х у
5х 9
0,5у 2
у k =-4
n=2
k =2,5
n=11 k =1
n=1k =1
n=10 k =67
n=0
k =-8
n=7](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_4.png)
![c
a bV- ?
V=abc
V
1 - ?
Bo’yi - 3 a
eni - 2 m b
Balandligi - 4 m c
(3 a ) (2∙ mb ) (4 ∙ mc )=(3 2 4) ( ∙ ∙ ∙ ammbc )=
= 24 am 2
bc = 24 abcm 2
.Yechish :](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_5.png)
![Birhadni standart ko’rinishga kletiring :
(5 x 2
b 3
y ) (8∙ xb 4
).
( 5 x 2
b 3
y )∙ (8 xb 4
)=(5∙8)∙( x 2
x )∙( b 3
b 4
)∙ y =40 x 3
b 7
y .Yechish :](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_6.png)
![28х у = 4х 7у ∙
= -8х 5х
∙ 3
= 1,5х у 3
2х у
∙
= х 2
у 5
(-6х у
∙ 2
)
= -0,6х 2
у (-
∙
10х у 2
)
= -
0,2х 3
у 4
5х
∙ 2
у 3
= 4х у 0,5х
∙ 2
у -х 5
у 7
-6х 3
у 7
2х 3
у 2 -40х 4
3х 2
у 4
-х 6
у 4
6х 3
у 3Gretsiya
Rossiya
AQSh
Xitoy
Xindiston Italiya Angliya Mos birhadni qoy’ing va standart ko’rinishga
keltiring .](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_7.png)
![Shunday mos birhadni qo’yingki , tenglik to’gri
bo’lsin
-х 6
у 4
=0,25ху ______∙ -
4х 5
у 3](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_8.png)
![6 a 2
b 3
ifodani bir necha usul bilan ikkita birhadning
ko’paytmasi shaklida yozing
Yechish :
6 a 2
b 3
=3 ab 2∙ ab 2
=6 ab 2
∙ ab =2 b 3
3 ∙ a 2
.](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_9.png)
![Ko’z gimnasik asi](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_10.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_11.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_12.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_13.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_14.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_15.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_16.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_17.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_18.png)
![Must aqil ish
1. Ko’paytmani yeching :
2 * belgisini shunday birhad bilan almashtirinki,
tenglik to’g’ri bo’lsin а ) 2/3 а 12∙ а b
б ) 0,5 х 2
у
∙ (- ху )
в ) -0,4х 4
у 2
2,5х
∙ 2
у 4 I variant II variant
а ) 3 / 4 xy 1
∙ 6 y
б ) 1 , 6 х 2
у
∙ (- 2 ху 2
)
в ) -0, 5 х 3
у 4
1,4
∙ х 6
у 4
а ) 6 х 2
∙ * =24 x 3
y
б ) * 5
∙ x 2
y 3
=-30 x 3
y 5 а ) 4 х 2
∙ *=20 x 3
y
б ) *∙8 x 2
y 4
=-8 x 5
y 6
3. Ifodaning qiymatini toping :
. 5 : ) 5( : 5) ;
81
9 27
) ;
15
3 5
)
8 5 2 20
2
4 2
14
16 16
в б а . 7 : ) 7( : 7) ;
16
8 32
) ;
21
7 3
)
3 2 5 15
5
2 3
8
10 10
в б а](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_19.png)
![№ 1-Variant 2- Variant
1 a) 8 a 2
b
б) -0,5 x 3
y 2
в) - x 6
y 6 а) 12 xy 2
б) -3,2 x 3
y 3
в) -0,7 x 9
y 8
2 а) 4 xy
б) 6 xy 2 а) 5 xy
б) x 3
y 2
3 а) 225
б) 729
в) 25 а) 441
б) 2
в) 49O’zingni t ek shir !](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_20.png)
![Uy ga v azifa
№](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_21.png)
![Darsda
qat nashganingiz
uchun t ashak k ur !](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_22.png)
![](/data/documents/daedf8c9-17e5-4967-b103-28ccb479f79e/page_23.png)
MAVZU : « BIRHA DLARN I KO’PAY TIRISH »
X at oni t oping! 1)5 5 5 5=4∙ ∙ ∙ 5 2)(-3) 2 =-3 3=-9 ∙ 3)7 1 =1 4)(х 2 ) 3 (х 4 ) 2 =(х 6 ) 5 =х 30 5)2 3 2 7 =2 21 6)2 3 2 7 =4 10 7)2 3 +2 7 =2 10 8)2 30 :2 10 =2 3 9)(2х) 3 =2х 3 10)(х 3 ) 2 =х 9 11)0 0 =15 4 9 7 Ma’nog a ega emas2 10 2 10 13 6 2 20 8х 3 х 6х 14
Birhadlarga bo’la oladimi ? х 2 х-1,7х у 2 х +у-с х 2 у -3у15/х 5 0,72(х +у ) 2 х 20 0
Birhadlarning darajasini aniqlang v a k oeffi sient ini ay t ing : -8х 7хс 4 у 5 67 -4х у 5х 9 0,5у 2 у k =-4 n=2 k =2,5 n=11 k =1 n=1k =1 n=10 k =67 n=0 k =-8 n=7
c a bV- ? V=abc V 1 - ? Bo’yi - 3 a eni - 2 m b Balandligi - 4 m c (3 a ) (2∙ mb ) (4 ∙ mc )=(3 2 4) ( ∙ ∙ ∙ ammbc )= = 24 am 2 bc = 24 abcm 2 .Yechish :