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\(=\frac{\left(3.4.12^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.4^2.12^{32}}{11.2^{13}.2^{22}-2^{26}}\)
\(=\frac{3^2.2^4.2^{64}.3^{32}}{11.2^{35}-2^{26}}\)
\(=\frac{3^{34}.2^{68}}{2^{26}\left(11.2^9-1\right)}\)
\(=\frac{3^{34}.2^{42}}{11.2^9-1}\)
Còn lại làm típ nha :)
Đặt \(A=\frac{3^2\cdot4^2\cdot2^{32}}{11\cdot2^{13}\cdot4^{11}-16^9}\)
\(A=\frac{3^2\cdot\left(2^2\right)^2\cdot2^{32}}{11\cdot2^{13}\cdot\left(2^2\right)^{11}-16^9}\)
\(A=\frac{3^2\cdot2^4\cdot2^{32}}{11\cdot2^{13}\cdot2^{22}-16^9}=\frac{3^2\cdot2^{36}}{11\cdot2^{35}-\left(2^4\right)^9}\)
\(A=\frac{3^2\cdot2^{36}}{11\cdot2^{35}-2^{36}}\)
\(A=\frac{3^2\cdot2^{36}}{11\cdot2^{35}-2\cdot2^{35}}\)
\(A=\frac{3^2\cdot2^{36}}{\left(11-2\right)\cdot2^{35}}=\frac{9\cdot2^{36}}{9\cdot2^{35}}=\frac{2^{36}}{2^{35}}=2\)
Bài làm:
\(\frac{3^2.4^2.2^{32}}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.\left(2^2\right)^2.2^{32}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^{36}}{11.2^{35}-2^{36}}\)
\(=\frac{3^2.2^{36}}{\left(11-2\right).2^{35}}\)
\(=\frac{9.2^{36}}{9.2^{35}}\)
\(=2\)
Học tốt
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