Tính:
\(\frac{9^4\cdot2^{15}}{8^3\cdot6^6}\)
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\(I=\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}=\frac{5.2^{30}.3^{27}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{27}-3^{30}.2^{29}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{27}.\left(5.2-3^3\right)}{2^{28}.3^{18}.\left(5.3-2.7\right)}\)
\(=\frac{2^{29}.3^{27}.-17}{2^{18}.3^{18}}\)
\(=\frac{2^9.3^9.-17}{1}\)
Ta có \(H=\frac{\left(3.4.2^{16}\right)}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3.4.2^{16}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3.2^{18}}{11.2^{35}-2^{36}}\)
\(=\frac{3.2^{18}}{2^{35}.\left(11-2\right)}\)
\(=\frac{3.2^{18}}{2^{35}.3^2}\)
\(=\frac{1}{2^{17}.3}\)
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)=2
\(y=\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
Tính(xin lỗi nha,ở trên mình ghi nhầm
bài này không khó. Nhưng đánh máy để giải cho bạn thì thực sự khó
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}\)
\(=\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^{10}.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{29}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}\left(5.2-3^2\right)}{2^{29}.3^{18}\left(5.3-7\right)}\)
\(=\frac{10-9}{15-7}\)
\(=\frac{1}{8}\)
\(\frac{-283}{16}\)
Tik cho mk nha.............cảm ơn rất nhiều
94 . 215 / 83 . 66
= (32)4 . 215 / (23)3 . (2.3)6
= 38 . 215 / 29 . 26 . 36
= 38 . 215 / 215 . 36
= 32 = 9
\(\frac{9^4.2^{15}}{8^3.6^6}=\frac{\left(3^2\right)^4.2^{15}}{\left(2^3\right)^3.2^6.3^6}=\frac{3^8.2^{15}}{2^9.2^6.3^6}=\frac{3^8.2^{15}}{2^{15}.3^6}=\frac{3^8}{3^6}=3^2=9\)
Vừa ngắn gọn ~ vừa dễ hiểu :D