Rút gọn biểu thức :
G = \(\frac{8.9+8.9.10+8.9+11+8.9+2}{4.6+4.6.6+4.6.4+4.6.8}\)
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tA CÓ :
\(\frac{5.6+5.7}{5.8+20}=\frac{5\left(6+7\right)}{5.\left(8+4\right)}=\frac{5.13}{5.12}=\frac{13}{12}\)
\(\frac{8.9-4.15}{12.7-180}=\frac{3.4\left(2.3-5\right)}{12\left(7-15\right)}=\frac{12\left(6-5\right)}{12\left(7-15\right)}=\frac{6-5}{7-15}=\frac{1}{-8}\)
a) \(\dfrac{2727-101}{3.303+404}=\dfrac{2626}{909+404}=\dfrac{2626}{1313}=2\)
b) \(\dfrac{8.9-4.15}{12.7-180}=\dfrac{72-60}{84-180}=\dfrac{12}{-96}=\dfrac{-1}{8}\)
c) \(\dfrac{-19}{3^2.7.11}=\dfrac{-19}{9.7.11}=\dfrac{-19}{63.11}=\dfrac{-19}{693}\)
d) \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+120.6^9}{2^{12}.3^{12}-6^{11}}=\dfrac{2^2.6^{10}+20.6.6^9}{6^{12}-6^{11}}=\dfrac{4.6^{10}+20.6^{10}}{6^{11}\left(6-1\right)}=\dfrac{\left(4+20\right).6^{10}}{5.6^{11}}=\dfrac{24}{30}=\dfrac{4}{5}\)
\(\frac{5.6+5.7}{5.8+20}=\frac{5.\left(6+7\right)}{5.8+5.4}=\frac{5.\left(6+7\right)}{5.\left(8+4\right)}=\frac{13}{12}\)
\(\frac{8.9.4-15}{12.7-180}=\frac{273}{-96}=\frac{-273}{96}\)
Quy đồng: MSC = 96
Ta có: \(\frac{13}{12}=\frac{13.8}{12.8}=\frac{104}{96}\)
lúc trước mik viết nhầm đề , bh mik sửa lại rồi dó , giúp mik vs nhé
G=\(\frac{8.9+8.9.10+8.9+11+8.9+2}{4.6+4.6.6+4.6.4+4.6.8}\)
G=\(\frac{8.9.\left(1+10+1+1\right)+11+2}{4.6.\left(1+6+4+8\right)}\)
G=\(\frac{72.13+13}{24.19}\)
G=\(\frac{13.\left(72+1\right)}{24.19}=\frac{13.73}{24.19}\)
G=\(\frac{949}{456}\)