Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Huyen lop truog hoc gioi toan nhat lop khog biet la sao thanh vien trog lop biet lam
Bài 1:
a) 0,24 = 6/25
b) 0,245 = 49/200
c) 2,5324 = 5/2
d) 0,5 = 1/2
a) \(0,\left(24\right)=\frac{24}{99}=\frac{8}{33}\)
b)\(0,2\left(45\right)=\frac{245-2}{990}=\frac{243}{990}=\frac{27}{110}\)
c)\(2,5\left(324\right)=2+0,5\left(324\right)=2+\frac{5324-5}{9990}=2+\frac{197}{370}=\frac{937}{370}\)
d) \(0,5\left(3\right)=\frac{53-5}{90}=\frac{48}{90}=\frac{8}{15}\)
Bài 2 : \(M=\frac{0,5+0,\left(3\right)-0,1\left(6\right)}{2,5+1,\left(6\right)-0,8\left(3\right)}\)
\(M=\frac{\frac{1}{2}+\frac{1}{3}-\frac{16-1}{90}}{\frac{5}{2}+\frac{5}{3}-\frac{83-8}{90}}\)
\(M=\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{6}}{\frac{5}{2}+\frac{5}{3}-\frac{5}{6}}=\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{6}}{5\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{6}\right)}=\frac{1}{5}\)
a/ 4510 . 520 / 7515 = (32.5)10.520/ (3.52)15 = 320.530/ 315.530 = 35=243
b/ 215. 94 / 66. 83 = 215.38/ 26.36.29 = 32 = 9
a)\(\frac{45^{10}.5^{20}}{75^{15}}=\frac{\left(3^2.5\right)^{10}.5^{20}}{3^{15}.\left(5^2\right)^{15}}=\frac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
b) \(\frac{2^{15}\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^{15}.3^6}=3^2=9\)
45^10*5^20/75^15
=5^10*9^10*5^20/(5^2)^15
=5^10*5^20*9^10/5^30
=9^10
(0.8)^5/(0.4)^6
=(0.4)^5*2^5/(0.4)^6
=2^5/(0.4)
=32/(0.4)
=80
2^15*9^4/6^6*8^3
=2^15*(3^2)^4/2^6*3^6*(2^3)^3
=2^15*3^8/2^6*3^6*2^9
=3^2
=9
\(\frac{3^6.45^4-3^{10}.45^3}{3^{10}.9.25^3+3^6.45^6}=\frac{3^6.\left(3^2.5\right)^4-3^{10}.\left(3^2.5\right)^3}{3^{10}.3^2.\left(5^2\right)^3+3^6.\left(3^2.5\right)^6}\)
\(=\frac{3^6.3^8.5^4-3^{10}.3^6.5^3}{3^{12}.5^6+3^6.3^{12}.5^6}=\frac{3^{14}.5^4-3^{16}.5^3}{3^{12}.5^6+3^{18}.5^6}\)
\(=\frac{3^{14}.5^3.\left(5-3^2\right)}{3^{12}.5^6.\left(1+3^6\right)}=\frac{3^2.\left(-4\right)}{5^3.730}=\frac{-18}{45625}\)