#)Giải :

\(A=\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}=\frac{3^2.3^{36}}{11.2^{35}-2^{36}}=\frac{3^2.2^{36}}{2^{35}.\left(11-2\right)}=\frac{9.2}{9}=2\)

Xét : ( 3 . 4 . 2¹⁶)² = 3² . 4² . 2³² = 9 . 2⁴. 2³² = 9 . 2³⁶

         11 . 2¹³. 4¹¹ - 16⁹ = 11 . 2¹³. 2^{22 -} 2³⁶ = 11 . 2³⁵ - 2³⁶ = ( 11 - 2 ) . 2³⁵ = 9 . 2³⁵

=> A = \(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}=\frac{9.2^{36}}{9.2^{35}}=2.\)

trả lời 

=2

chúc bn 

hc tốt

trả lời 

=2

chúc bn 

hc tốt

Trả lời:

=2

#Nhi

***

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

\(A=\frac{3^2.\left(2^2.2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)

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

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

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

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

\(A=2\)

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

\(=\frac{\left(3.2^2.2^{16}\right)^2}{11.2^{13}.2^{22}-2^{36}}=\frac{\left(3.2^{18}\right)^2}{11.2^{35}-2^{36}}\)

\(=\frac{9.2^{36}}{2^{35}.\left(11-2\right)}=\frac{9.2^{36}}{2^{35}.9}\)\(=2\)

Kq = 2 nha 

chúc bn hk tt:v

#JM#

trả lời 

=2

chúc bn 

hc tốt

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

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

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

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

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

\(=\frac{3^2.2^{36}}{9.2^{35}}\)

\(=\frac{3^2.2^{36}}{3^2.2^{35}}\)

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

\(=1.2=2\)

~ Hok tốt ~