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=1024.59049-1024.19683
=1024.(59049-19683)
=1024.39366
=40310784/=512.50049
=30233088
a)\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{-5}{9}\)
b)\(\frac{\left(-11\right)^5.13^7}{11^5.13^8}=-\frac{1}{13}\)
c)\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^{10}}=2\)
d(\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(35+9\right)}=\frac{1}{6}\)
\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
2.3x = 10.312 + 8.274
=> 2.3x = 10.312 + 23 . (33)4
=> 2.3x = 10.312 + 8.312
=> 2.3x = (10 + 8).312
=> 2.3x = 18.312
=> 2.3x = 2.32 . 312
=> 2.3x = 2.314
=> x = 14
\(2.3^x=10.3^{12}+8.27^4\)
\(\Leftrightarrow2.3^x=2.5.3^{12}+2^3.\left(3^3\right)^4\)
\(\Leftrightarrow2.3^x=2.5.3^{12}+2^3.3^{12}\)
\(\Leftrightarrow2.3^x=2.3^{12}\left(5+2^2\right)\)
\(\Leftrightarrow2.3^x=2.3^{12}.9\)
\(\Leftrightarrow2.3^x=2.3^{12}.3^2\)
\(\Leftrightarrow2.3^x=2.3^{14}\)
\(\Leftrightarrow x=14\)
Vậy x=14
Hok Tốt !!!!!!!!!!!!!!!!!!!!!!!
a) \(5^5\)
b) \(5^7\)
c) \(5^{19}\)
d) \(10^3\)
e) \(10.10^2.10^4.10^4=10^{11}\)
\(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}\)\(=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}\)\(=\frac{2\cdot2}{3}=\frac{4}{3}\)
Vậy \(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{3}{4}\)