a) (4^17+4^3) : (4^16+4^2)
b) (2^7. 3^4.2^9.3^5) : ( 2^6.3^3.13)
c) 24^3:3^4 - 32^12:16^12
a) (4^17+4^3) : (4^16+4^2)
b) (2^7. 3^4.2^9.3^5) : ( 2^6.3^3.13)
b) (2^7. 3^4+2^9.3^5) : ( 2^6.3^3.13)
- Nhanh nào
\(\frac{2^7\cdot3^4\cdot2^9\cdot3^5}{2^6\cdot3^3\cdot13}=\frac{2^{16}\cdot3^9}{2^6\cdot3^3\cdot13}=\frac{2^{10}\cdot3^6}{13}=\frac{746496}{13}\)
a.4^8.4^4
b.5^12 . 7-5^11 . 10
c.2^20 . 15+2^10 . 85
d.27^16 : 9^10
e.125^3 :25^4
f.24^4 : 3^4 - 32^12: 16^12
Mình cần gấp ạ
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
Bài 1 Tính nhanh
a) -3/7 + 5/13 + 3/7
b) -5/21+-2/21+8/24
c) -5/11+(-6/11+2)
d) (-1/32+1/2)+15/32
e)5/17+ -6/13 + 3/4 + 7/-13+12/17
f) 7/23+-18/18+-4/9+16/23+-5/8
g)1/3+-3/4+3/5+-1/36+1/15+-2/9
h)-1/2+1/3+-1/4+-2/8+4/18+4/9
a)\(-\dfrac{3}{7}+\dfrac{5}{13}+\dfrac{3}{7}\)
=\(\left(-\dfrac{3}{7}+\dfrac{3}{7}\right)+\dfrac{5}{13}\)
=\(0+\dfrac{5}{13}\)
=\(\dfrac{5}{13}\)
1.Thực hiện phép tính:
a)24^3:3^4-32^12:16^12
b) (2^31+2^27):(2^14x2^13)
c)(2^43+2^4):(2^39+1)
d)(2^23+2^24+2^25):(2^18+2^19+2^20)
e)(3^6x5^7x7^11):(3^4x5^7x7^10)
f)(2^7x3^4+2^9x3^5):(2^6x3^3x13)
g)(3^12+3^13):3^10
h)(4^17+4^3):(4^16+4^2)
3+x/7+y=3/7 và x+y=20
A=2*4+2*4*8+4*8*16+8*16*32/3*4+2*6*8+4*12*16+8*24*32
tính hợp lý
a 172 x 5+ x 17
b 642 : 163 x 199
c 244 : 44- 3212: 1612
thực hiện phép tính :
a) 15/4:(1/8-7/16)-5/9.(3/5-(-12)/15)
b) 3/32-7/34-3,15+4/11+12/17
c) 1/5-3,5-3/2+1,25
d)12/17.(1-1/15)-12/17.(4/5-1)
e) 2,15:8/9-7/4:8/9+(-5/6)^2
f) 5/6 :-1/2+5/6:-1/4+2,3
g) (1/2-2/3)^2 : (-0,5)^2 : (-0,5)^2 + (1,25-3/2)^2 : 0,3
a: \(=\dfrac{15}{4}:\dfrac{2-7}{16}-\dfrac{5}{9}\cdot\left(\dfrac{3}{5}+\dfrac{4}{5}\right)\)
\(=\dfrac{15}{4}\cdot\dfrac{16}{-5}-\dfrac{5}{9}\cdot\dfrac{7}{5}\)
\(=\dfrac{-240}{20}-\dfrac{7}{9}=-12-\dfrac{7}{9}=\dfrac{-115}{9}\)
c: \(=\dfrac{1}{5}-\dfrac{7}{2}-\dfrac{3}{2}+\dfrac{5}{4}\)
\(=\dfrac{4+25}{20}-5=\dfrac{29}{20}-\dfrac{100}{20}=\dfrac{-71}{20}\)
d: \(=\dfrac{12}{17}\left(1-\dfrac{1}{15}-\dfrac{4}{5}+1\right)=\dfrac{12}{17}\cdot\dfrac{17}{15}=\dfrac{12}{15}=\dfrac{4}{5}\)
e: \(=\dfrac{2}{15}\cdot\dfrac{9}{8}-\dfrac{7}{4}\cdot\dfrac{9}{8}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\left(\dfrac{2}{15}-\dfrac{7}{4}\right)+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{8-105}{60}+\dfrac{25}{36}\)
\(=\dfrac{9}{8}\cdot\dfrac{-97}{60}+\dfrac{25}{36}=\dfrac{-1619}{1440}\)
a ) - 8 / 24 + - 4 / 12
b ) - 20 / 35 + 16 / 24
c ) - 3 / 9 + - 6 / 15
d ) 3 / 13 - 4 / 10
e ) 5 / 17 - 9 / 15
g ) 9 / 18 - 6 / 15 + 3 / - 9
h ) 5 / 4 - 1 / 2 + - 7 / 8
câu a :
\(\dfrac{-8}{24}+\dfrac{-4}{12}=\dfrac{-1}{3}+\dfrac{-1}{3}=\dfrac{-2}{3}\)
câu b :
\(\dfrac{-20}{35}+\dfrac{16}{24}=\dfrac{-4}{7}+\dfrac{2}{3}=\dfrac{2}{21}\)
câu c :
\(\dfrac{-3}{9}+\dfrac{-6}{15}=\dfrac{-1}{3}+\dfrac{-2}{5}=\dfrac{-11}{15}\)
câu d :
\(\dfrac{3}{13}-\dfrac{4}{10}=\dfrac{3}{13}-\dfrac{2}{5}=\dfrac{-11}{65}\)
câu e :
\(\dfrac{5}{17}-\dfrac{9}{15}=\dfrac{5}{17}-\dfrac{3}{5}=\dfrac{-26}{85}\)
câu g :
\(\dfrac{9}{18}-\dfrac{6}{15}+\dfrac{3}{-9}=\dfrac{9}{18}-\dfrac{6}{15}+\dfrac{-3}{9}\\ =\dfrac{1}{2}-\dfrac{2}{5}+\dfrac{-1}{3}=\dfrac{-7}{30}\)
câu h :
\(\dfrac{5}{4}-\dfrac{1}{2}+\dfrac{-7}{8}=\dfrac{10}{8}-\dfrac{4}{8}+\dfrac{-7}{8}=\dfrac{-1}{8}\)