(\(3.4\). \(2^{16}\) )\(^{^2}\) : (\(11\).\(2^{13}\).\(4^{11}\)-\(16^9\))
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TH
0
LT
0
6 tháng 7 2021
\(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(=\dfrac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\dfrac{3^2.2^{36}}{11.2^{35}-2.2^{35}}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.9}\)
\(=\dfrac{3^2.2^{36}}{2^{35}.3^2}\)
\(=2\)
28 tháng 9 2016
(3.4.2^16)^2/11.2^13.4^11-16^9
=3^2.4^2.(2^16)^2/11.2^13.(2^2)^11-(2^4)^9
=3^2.(2^2)^2.2^32/11.2^13.2^12-2^36
=3^2.2^4.2^32/11.2^13.2^12-2^36
=3^2.2^32+4/11.2^13+12-2^36
=3^2.2^36/11.2^35-2^36
=3^2.2^35.2/11.2^35-2^35.2
=3^2.2^35.2/2^35.(11-2)
=3^2.2^35.2/2^35.9
=3^2.2/9
=9.2/9
=2
5 tháng 2 2018
\(\frac{\left(2.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{2^2.4^2.\left(2^{16}\right)^2}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{2^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)
\(=\frac{2^{38}}{2^{35}.\left(11-2\right)}\)
\(=\frac{2^{35}.2^3}{2^{35}.9}=\frac{2^3}{9}=\frac{8}{9}\)
TT
6
7 tháng 10 2016
bạn sai rồi
Oh
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^{36}}{11.2^{35}-2^{36}}\)
\(=\frac{3^2.3^{36}}{2^{35}.\left(11-2\right)}\)
\(=\frac{9.2}{9}=2\)
S
7 tháng 10 2016
\(A=\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.4^{11}-16^9}\)
\(=\frac{3^2.\left(2^2\right)^2.2^{32}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(=\frac{3^2.2^{36}}{11.2^{35}-2^{36}}\)
\(=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
\(=\frac{9.2}{2}=2\)
AT
1
26 tháng 6 2016
\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)\(=\frac{3^2.4^2.2^{32}}{11.2^{12}.2^{22}-2^{36}}\)\(=\frac{3^2.2^4.2^{32}}{11.2^{34}-2^{34}.2^2}\)\(=\frac{3^2.2^{34}.2^2}{2^{34}.\left(11-2^2\right)}\)\(=\frac{2^{34}.36}{2^{34}.7}=\frac{36}{7}\)
\(\left(3\cdot4\cdot2^{16}\right)^2:\left(11\cdot2^{13}\cdot4^{11}-16^9\right)\\ =\left(3\cdot2^2\cdot2^{16}\right)^2:\left(11\cdot2^{13}\cdot2^{22}-2^{36}\right)\\ =3^2\cdot2^4\cdot2^{32}:\left(11\cdot2^{35}-2^{36}\right)\\ =3^2\cdot2^{36}:\left[2^{35}\cdot\left(11-2\right)\right]\\ =9\cdot2^{36}:\left(2^{35}\cdot9\right)\\ =9\cdot2^{36}:2^{35}:9\\ =2\)