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15 tháng 12 2017

a)

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\frac{3^2.4^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\frac{3^2.\left(2^2\right)^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{36}}\)

\(=\frac{9.2.2^{35}}{11.2^{35}-2.2^{35}}\)

\(=\frac{18.2^{35}}{2^{35}.\left(11-2\right)}\)

\(=\frac{18.2^{35}}{2^{35}.9}\)

\(=\frac{18}{9}\)

\(=2\)

4 tháng 12 2017

a, = 3^2.4^2.2^32/11.2^13.2^22-2^36

= 3^2.2^4.2^32/11.2^35-2^36

= 9.2^36/2^35.(11-2)

= 9.2^36/2^35.9 =  2

b, = 134.269+269-133/134.269+135 = 134.269+135/134.269+135 = 1

k mk nha

4 tháng 12 2017

a, = 3^2.4^2.2^32/11.2^13.2^22-2^36

= 3^2.2^4.2^32/11.2^35-2^36

= 9.2^36/2^35.(11-2)

= 9.2^36/2^35.9 =  2

b, = 134.269+269-133/134.269+135 = 134.269+135/134.269+135 = 1


 

25 tháng 3 2019

\(=\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{36}}\)

\(=\frac{3^2.4^2.2^{32}}{2^{35}\left(11-2\right)}\)

\(=\frac{3^2.4^2.2^{32}}{2^{35}.3^2}\)

\(=\frac{4^2}{2^3}\)

\(=\frac{2^4}{2^3}\)

\(=2\)

Hk tốt

14 tháng 3 2018

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(=\frac{3^2.2^4.2^{32}}{11.2^{35}-2^{35}.2}\)

\(=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)

\(=\frac{9.2^{35}.2}{2^{35}.9}\)

\(=2\)

14 tháng 3 2018

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(\frac{3^2.4^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(\frac{3^2.4^2.2^{32}}{11.2^{35}-2^{35}.2}\)

\(\frac{3^2.2^4.2^{32}}{2^{35}.\left(11-2\right)}\)

\(\frac{3^2.2^{36}}{2^{35}.9}\)

\(\frac{9.2^{35}.2}{2^{35}.9}\)

\(2\)

27 tháng 2 2023

\(\dfrac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}=\dfrac{\left(3\cdot2^2\cdot2^{16}\right)^2}{11\cdot2^2\cdot\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\dfrac{3^2\cdot\left(2^2\right)^2\cdot\left(2^{16}\right)^2}{11\cdot2^2\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^4\cdot2^{32}}{11\cdot2^{24}-2^{36}}\)

\(=\dfrac{3^2\cdot2^{34}}{11\cdot2^{24}-2^{36}}=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{11\cdot2^{24}-2^{12}\cdot2^{24}}\)

\(=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{\left(11-2^{12}\right)\cdot2^{24}}=\dfrac{3^2\cdot2^{10}}{11-2^{12}}\)

 

\(=\dfrac{3^2\cdot2^{36}}{11\cdot2^{13}\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^{36}}{2^{35}\cdot9}=2\)

15 tháng 7 2017

\(B=\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{3.2^2.2^{16.2}}{11.2^{13}.2^{22}-2^{36}}=\frac{3.2^{34}}{11.2^{35}-2^{36}}=\frac{3.2^{34}}{2^{34}\left(11.2-2^2\right)}\)

\(=\frac{3}{11.2-2^2}=\frac{3}{11.2-4}=\frac{3}{22-4}=\frac{3}{18}=\frac{1}{6}\)

15 tháng 7 2017

Sai rồi cậu ơi

21 tháng 3 2016

(3.4.2^16)^2/11.2^13.4^11.16^9.=18/9=2

tui nói đúng  đó

11 tháng 3 2017

\(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)

\(=\frac{3^2.4^2.2^{32}}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\frac{9.\left(2^2\right)^2.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)

\(=\frac{9.2^4.2^{32}}{11.2^{35}-2^{36}}\)

\(=\frac{9.2^{36}}{2^{35}.\left(11-2\right)}\)

\(=\frac{9.2^{35}.2}{2^{35}.9}\)

\(=2\)