Question

[Lillie]

tính A = ( 3 . 4 . 2¹⁶)² phần 11 . 2¹³ . 4¹¹ - 16⁹

Answer 1

[T.Ps]

#)Giải :

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

Answer 2

[Cá Chép Nhỏ]

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