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\(\frac{5^3.90.4^3}{25^2.3^2.2^{13}}=\frac{5^3.2.3^2.5.2^6}{5^4.3^2.2^{13}}=\frac{5^4.2^7.3^2}{5^4.3^2.2^{13}}=\frac{2^7}{2^{13}}=\frac{128}{8192}=\frac{1}{64}\)
Bài 1:
a) 6/2 x+ 1 = 2/7
6/2 x = 2/7 - 1
6/2 x = 2/7 - 7/7
6/2 x = -5/7
x = - 5/7 : 6/2
x = - 5/7 . 2/6
x = -5/21
Ủng hộ nha! :)
BÀI 1 a 6/2x+1=2/7
6/2x=2/7-1
6/2x=-5/7
6*7=5*2x
42=5*2x
42/5=2x
x=42/5:2
x=21/5
5 . 213 . 411 - 169 / ( 3 . 217)2
=5 . 213 . 222 - 236 / 32.234
=5 . 235 - 236 / 32.234
= 235. (5 - 2) / 32.234
= 235. 3 / 32.234
= 2/3
=\(\frac{7.\left(2^2\right)^5.3^{10}.3+2^{10}.2^3.\left(3^2\right)^5}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{7.2^{10}.3^{10}.3+2^{10}.2^3.3^{10}}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{2^{10}.3^{10}\left(7.3+2^3\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
=\(\frac{7.3+2^3}{1+2^2}\)
\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
Tự làm tiếp...
\(\frac{2^5.7+2^5}{2^5.5^2-2^5.3}=\frac{2^5.\left(7+1\right)}{2^5.\left(5^2-3\right)}=\frac{8}{25-3}=\frac{8}{22}=\frac{4}{11}\)
\(\frac{3^4.5-3^6}{3^4.13+3^4}=\frac{3^4.\left(5-3^2\right)}{3^4.\left(13+1\right)}=\frac{5-9}{14}=\frac{-4}{14}=\frac{-2}{7}\)
\(\frac{-2}{7}=\frac{-22}{77}\)
\(\frac{4}{11}=\frac{28}{77}\)
Ta có \(\frac{5^3.90.4^3}{25^2.3^2.2^{13}}\)
\(=\frac{5^3.2.3^2.5.\left(2^2\right)^3}{\left(5^2\right)^2.3^2.2^{13}}\)
\(=\frac{5^4.2^{13}.3^2}{5^4.3^2.2^{13}}\)
\(=1\)
kết quả là \(\frac{720000}{46080000}=\frac{1}{64}\)nha !!!
k mk nha !!!!!!!^-^