Rut gon phan so:
2^23 x 45^25 x 13^22 x 35^16/9^26 x 65^22 x 28^17 x 25^9
lam on giup mk dc ko ?
1)Số tự nhiên n để \(x^6y^{n+2}\) chia hết cho \(x^ny^4z^{n-3}\)
2) Rút gọn phân số \(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\)
Rút gọn:
\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\)
Ta có:
\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\frac{2^{35}.\left(9.5\right)^{25}.13^{22}.\left(5.7\right)^{16}}{9^{26}.\left(5.13\right)^{22}.\left(7.4\right)^{17}.\left(5.5\right)^9}\)
\(=\frac{2^{35}.9^{25}.5^{25}.13^{22}.5^{16}.7^{16}}{9^{26}.13^{22}.5^{22}.7^{17}.4^{17}.5^9.5^9}\)
\(=\frac{2^{35}.5^3}{9.4^{17}.5^2.7}\)
\(=\frac{2^{35}.5}{9.4^{17}.7}\)
\(=\frac{2^{35}.5}{9.2^{34}.7}\)
\(=\frac{2.5}{9.7}\)
\(=\frac{10}{63}\)
p/s: - Ko chắc ~
\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\frac{2^{35}.5^{25}.9^{25}.13^{22}.5^{16}.7^{16}}{9^{26}.5^{22}.13^{22}.4^{17}.7^{17}.5^9.5^9}=\frac{2^{35}.5^3.5^7}{9.\left(2^2\right)^{17}.7.5^9}=\frac{2^{35}.5^3}{9.2^{34}.7.5^2}=\frac{2.5}{9.7}=\frac{10}{63}\)
Rút gọn:
\(\dfrac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\) = ...
\(A=\dfrac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\dfrac{2^{35}.3^{50}.5^{25}.13^{22}.5^{16}.7^{16}}{3^{52}.13^{22}.5^{22}.2^{34}.7^{17}.5^{18}}\)
\(=\dfrac{2.5^3}{3^2.5^2.7}=\dfrac{2.5}{3^2.7}=\dfrac{10}{63}\)
Rút gọn phân số: \(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\) ( Nhập dưới dạng phân số tối giản )
\(\frac{2^{35}.9^{25}.5^{25}.13^{22}.7^{16}.5^{16}}{9^{26}.13^{22}5.^{22}.7^{17}.4^{17}.5^{2.9}}=2^{\left(35-2.17\right)}.9^{\left(25-26\right)}.5^{\left(25+16\right)-\left(22+2.9\right)}.13^{22-22}.7^{16-17}.\)
\(2^1.9^{-1}.5^1.13^0.7^{-1}=\frac{2.5}{9.7}=\frac{10}{63}\)
bài 1, tìm x ;
a, -16 + 23 + x = -16
b, 2x-35=15
c, 3x+17==12
d, |x-1|=0
e, -13.|x|=-26
bài 2; tính hợp lí ;
a, 35.18-5.7.28
b, 45-5.[12+9]
c, 24. [16-5]-16.[24-5]
d, 29.[19-13]-19.[29-13]
e, 31. [-18]+31. [-81]-31
g, [-12].47+[-12].52+[-12]
f, 13. [23+22]-3.[17+28]
h, -48 + 48. [-78]+48.[-21]
Bài 1. tìm x :
a, -16 + 23 + x = -16
23 + x = -16-(-16)
23 + x = 0
x = 0 - 23
Vậy: x = -23
b, 2x - 35 = 15
2x = 15 + 35
2x = 50
x = 50 : 2
Vậy: x = 25
c, 3x + 17 = 12
3x = 12 - 17
3x = -5
Vậy: x = -5/3
d, | x - 1 | = 0
x - 1 = 0
x = 0 + 1
Vậy: x = 1
e, -13 . | x | = -26
-13 . x = -26
x = -26 : ( -13 )
Vậy: x = 2
Mik làm bài 1 còn bài 2 bn tự làm nha
Hok tốt!!!
Tính nhanh:
a) 78 x 13 +13 x 22
b) 25 x 70 + 28 x 25 + 50
c) ( 45 x 28 x 19 ) : ( 19 x 14 x 15)
d) ( 132 x70 x60 ) : ( 12 x 35 x 20 )
GIÚP MÌNH VỚI Ạ ,MÌNH ĐANG CẦN GẤP
\(a.13.\left(78+22\right)=13.100=1300\)
\(b.25.70+28.25+25.2=25.\left(70+28+2\right)=25.100=2500\)
\(c.\dfrac{15.3.14.2.19}{19.14.15}=6\)
\(d.\dfrac{132.70.60}{12.35.20}=\dfrac{11.12.35.2.20.3}{12.35.20}=66\)
a) 21/11 x 22/17 x 68/63
b) 5/14 x 7/13 x 26/25
c) 7/9 x 3/35 x 17/9
d) 11/17 : 33/34
e) 15,7 : 6,28
a)\(\frac{8}{3}\)
b)\(\frac{1}{5}=0,2\)
c)\(\frac{17}{135}\)
d)\(\frac{2}{3}\)
e)\(\frac{5}{2}=2,5\)
a) 21/11 x 22/17 x 68/63
= (21 x 22 x 68)/ (11 x 17 x 63)
= 8/3
b) 5/14 x 7/13 x 26/25
= (5 x 7 x 26)/(14 x 13 x 25)
= (5 x 7 x 13 x 2) / ( 7 x 2 x 13 x 5 x 5)
= 1/5
c) 7/9 x 3/35 x 17/9
= (7 x 3 x 17)/ (9 x 35 x 9 )
= 17/135
d) 11/17 : 33/34
= 11/17 x 34/33
= (11 x 34)/(17 x 33)
= (11 x 17 x 2) / ( 17 x 33 x 11)
=2/33
e) 15,7 : 6,28
= 157/10 : 157/ 25
= 157/10 x 25/157
= (157 x 25) / ( 10 x 157)
= 25/10 = 5/2
k nha
bài 1: Quy đồng mẫu số các phân số sau
a) 17/20 , 13/15 và 41/60
b)25/75 , 17/34 và 121/132
bài 2 : Tính
a)5/23 x 17/26 + 5/23 x 9/26
b)3/4 x 7/9 + 7/4 x 3/9
c) 4/20 + 16/42 + 6/15 + 3/5 + 16/20 + 10/21
d) 3/7 x 14/5 x 35/9 x 81/7
bài 3: tìm x
a) x + 3/22 = 27/121 x 11/9
b)8/23 x 46/24 - x = 1/3
các bạn ghi cả cách tính cho mình nha thank nhìu
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
1,a) \(\dfrac{17}{20}=\dfrac{51}{60};\dfrac{13}{15}=\dfrac{52}{60}\)
tìm x biết a, x + 22/11 + x + 23/12 = x + 24/13 + x + 25/14
b, x - 17/16 + x-16/17 = x-15/18 + x-14/19
\(\frac{x+22}{11}+\frac{x+23}{12}=\frac{x+24}{13}+\frac{x+25}{14}\)
\(\Leftrightarrow\left(\frac{x+22}{11}+1\right)+\left(\frac{x+23}{12}+1\right)=\left(\frac{x+24}{13}+1\right)+\left(\frac{x+25}{14}+1\right)\)
\(\Leftrightarrow\frac{x+33}{11}+\frac{x+35}{12}=\frac{x+37}{13}+\frac{x+39}{14}\)
\(\Leftrightarrow\frac{x+33}{11}+\frac{x+35}{12}-\frac{x+37}{13}-\frac{x+39}{14}=0\)
\(\Leftrightarrow\frac{2184\cdot\left(x+33\right)+2002\cdot\left(x+35\right)-1848\cdot\left(x+37\right)-1716\cdot\left(x+39\right)}{24024}=0\)
\(\Leftrightarrow2184x+72072+2002x+70070-1848x-68376-1716x-66924=0\)
\(\Leftrightarrow622x+6842=0\)
\(\Leftrightarrow x=-11\)