a)A= -1-2-3-...........-2012
b)C=10101(5/111111+5/222222-4/3x7x11x13x37)
c)D=9.5^20.27^9-3.9^15.25^9/7x3^29.125^6-3.3^9.15^19
d)B=1/6+1/12+1/20+1/30+1/42+...+1/90
Giúp tớ với ^^
9.5^20.27^9-3.9^15.25^9/7.3^29.125^6-3.3^9.15^19
thực hiện phép tính:9.5^20.27^9-3.9^15.25^9/7.3^29.125^6-3.3^9.15^19
thong diep nho
hay h khi ko muon h
ai h minh minh h lai
1 tính :
a,2^3.3^3.5^3.7.8/3.2^4.5^3.14
b,9.5^20.27^9-3.9^15.25^9/7.3^29.125^6-3.3^9.15^19
mk cần gấp nhé ngay trong tối nay mong nhận sự giúp đỡ của các bn càng sớm càng tốt
a) 2^3.3^3.5^3.7.8/ 3.2^4.5^3.14= 2^6 . 3^3 . 5^3 . 7/ 3. 2^5. 7. 5^3
rút gọn sau đó ra kết quả: 2. 3^2=18
b) 9. 520. 279- 3.915.259/ 7.329. 1256- 3.39. 1519= 32. 520- 3.330.518/7.329.518- 310.319.519
=32. 520-331.518/ 7.329.518 - 329.519= 32. 518 ( 25-329) / 329. 518.2
tiếp theo em tu giai nhe
`Answer:`
a. \(\frac{2^3.3^3.5^3.7.8}{3.2^4.5^3.14}\)
\(=\frac{3^2.7.2.2.2}{2.7.2}\)
\(=\frac{3^2.2}{1}\)
\(=18\)
b. \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
Ta xét tử số: \(9.5^{20}.27^9-3.9^{15}.25^9\)
\(=3^2.5^{20}.\left(3^3\right)^9-3.\left(3^2\right)^{15}.\left(5^2\right)^9\)
\(=3^2.5^{20}.3^{27}-3.3^{30}.5^{18}\)
\(=5^{20}.3^{29}-3^{31}.5^{18}\)
\(=3^{29}.5^{18}.\left(5^2-3^2\right)\)
\(=3^{29}.5^{18}.16\)
Ta xét mẫu số: \(7.3^{29}.125^6-3.3^9.15^{19}\)
\(=7.3^{29}.\left(5^3\right)^6-3^{10}.\left(3.5\right)^{19}\)
\(=7.3^{29}.5^{18}-3^{10}.3^{19}.5^{19}\)
\(=7.3^{29}.5^{18}-3^{29}.5^{19}\)
\(=3^{29}.5^{18}.\left(7-5\right)\)
\(=3^{29}.5^{18}.2\)
`=>` Phân số trở thành: \(\frac{3^{29}.5^{18}.16}{3^{29}.5^{18}.2}\)\(=\frac{16}{2}=8\)
Thực hiện phép tính:
9.5^20.27^9 - 3.9^15.25^9
7.3^19.125^6 - 3.3^9.15^19
A = 1 - 2 - 3 - .....- 2010
B = \(\frac{-1}{20}\)+ \(\frac{-1}{30}\)+ \(\frac{-1}{42}\)+ ..... + \(\frac{-1}{90}\)
C = \(\frac{9.5^{20^{ }}.27-3.9^{15^{ }}.25^9}{7.3^{29^{ }}.125^{6^{ }}-3.3^{9^{ }}15^{19}}\)
D = 1010 . (\(\frac{5}{111111}\)+ \(\frac{5}{222222}\)- \(\frac{4}{3.7.11.13.37}\))
1, Tính giá trị của biểu thức N= \(\dfrac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
2, Tìm 3 số a,b,c biết : \(\dfrac{3a-2b}{5}=\dfrac{2c-5a}{3}=\dfrac{5b-3c}{2}\) và a + b + c = -50
Bài 1: rút gọn
\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
\(\left(\dfrac{2}{3}\right)^3.\left(\dfrac{-3}{4}\right)^2.\left(-1\right)^{2013}\)
\(\left(\dfrac{1}{5}\right)^{15}\).\(\left(\dfrac{1}{4}\right)^{20}\)
\(\dfrac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
\(\left(\dfrac{2}{3}\right)^3.\left(\dfrac{-3}{4}\right)^2.\left(-1\right)^{2013}=\dfrac{8}{27}.\dfrac{9}{16}.\left(-1\right)=-\dfrac{1}{6}\)
\(\left(\dfrac{1}{5}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}=\dfrac{1}{5^{12}}.\dfrac{1}{4^{20}}=5^{-12}.4^{-20}=125^{-4}.1024^{-4}=\left(125.1024\right)^{-4}=128000^{-4}\)
\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}=\dfrac{2^{12}.3^{10}+2^3.3.5.2^9.3^9}{2^{12}.3^{12}+2^{11}.3^{11}}=\dfrac{2^{12}.3^{10}+2^{12}.2^{10}.5}{2^{12}.3^{12}+2^{11}.3^{11}}=\dfrac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}\left(2.3+1\right)}=\dfrac{2.6}{3.7}=\dfrac{4}{7}\)
1 rút gọn
\(\dfrac{9.5^{20}.27^9-3.9^{15}:25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{-4}\right)^{^{20}}\)
\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
1. \(\dfrac{9.5^{20}.27^9-3.9^{15}:25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\dfrac{3^2.5^{20}.3^{27}-3.3^{30}.5^{18}}{7.3^{29}.5^{18}-3^{10}.3^{19}.5^{19}}\)
\(=\dfrac{3^{29}.5^{20}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}\)
\(=\dfrac{3^{28}.5^{18}.\left(5^2-3^2\right)}{3^{29}.5^{18}.\left(7-5\right)}\)
\(=\dfrac{5^2-3^2}{7-5}=\dfrac{16}{2}=8\)
2.\(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{-4}\right)^{20}=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}\)
\(=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{2}^2\right)^{20}=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{2}\right)^{40}\)
\(=\left(\dfrac{1}{2}\right)^{55}\)
3.\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}=\dfrac{2^{10}.3^8-2.2^9.3^9}{2^{10}.3^8+2^8.3^8.2^2.5}\)
\(=\dfrac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}=\dfrac{2^{10}.3^8\left(1-3\right)}{2^{10}.3^8\left(1+5\right)}\)
\(=\dfrac{1-3}{1+5}=\dfrac{-2}{6}=\dfrac{-1}{3}\)
Chúc học tốt!!
18x(19191919/21212121+88888/99999 va 4 2/5+1/3+5 6/9+1/4+2 3/4+2/5 va (5/111111+5/222222-4/3x7x11x13x37)x10101 va 1/2x 2/3x 3/4x 4/5x 5/6x 6/7x 7/8x 8/9x 9/10 va 7/4x (3333/1212 +3333/2020 +3333/3030 +3333/4242)
32,2857 và 12,8 và -498814315,3 và 0,1 và 11
tổng = - 498814259,1