=\(\frac{1}{2}\)

\(\frac{1}{2}nha\)

Mik đã k Magicpencil

=\(\frac{1}{2}\)

kết quả cuối cùng =1/2

/ phần nha bạn

nếu đúng thì tick cho mk nha

Tử số: 2^19 x (3^3)^3 x 5+15 x 4^9 x(3^2)^4

            =2^19 x3^9x5 + 15 x(2^2)^9 x 3^8

            = 2^19 x 3^9 x 5 +3 x 5 x 2^18 x 3^8

             = 2^19 x 3^9 x 5+ 3^9 x 5 x 2^18

             = 5 x 3^9 x 2^18 (2+1)

             =5 x 3^10 x 2^18

Mẫu số

= (2 x 3)^9 x 2^10 -12^10

= 2^9 x 3^9 x 2^10 - (2^2x3)^10

= 2^9 x 3^9 x 2^10 -2^20 x 3^10

= 2^19 x 3^9 - 2^20 x 3^10

= 2^19 x 3^9 (1-2 x 3)

= 2^19 x 3^9 x(-5)

Chia cả tử và mẫu ta có

(5 x 3^10 x 2^18) / (2^19 x 3^9 x (-5)) = -3/2

\(H=\frac{2^{19}.27^3.5-15.\left(-4\right)^9.9^4}{6^9.2^{10}-\left(-12\right)^{10}}\)

\(\Rightarrow\)\(H=\frac{2^{19}.3^9.5-3.5-1.2^{18}.3^8}{2^9.3^9.2^{10}-6^{10}.2^{10}}=\frac{2^{19}.3^9.5-3^9.5-2^{18}}{2^{19}.3^9-3^{10}.2^{10}.2^{10}}=\frac{2^{19}.3^9.5-3^9.5-2^{18}}{2^{19}.3^9-3^{10}.2^{20}}\)

\(\Rightarrow H=\frac{2^{18}.3^9.5\left(2-1\right)}{2^{19}.3^9.\left(1-3.2\right)}=\frac{5}{2.\left(-5\right)}=\frac{-1}{2}\)

Vậy \(H=\frac{-1}{2}\)

=\(\dfrac{2^{19}.27^3-15.\left(-4\right)^9.9^4}{6^9.2^{10}+\left(-12\right)^{10}}\)

=\(\dfrac{2^{19}.3^9-2^{18}.3^9.5}{6^9.2^{10}+6^{10}.2^{10}}\)

=\(\dfrac{2^{18}.3^9\left(2-2.5\right)}{6^9.2^{10}\left(1+6\right)}\)

=\(\dfrac{2^{18}.3^9.\left(-8\right)}{3^9.2^{19}.7}\)

=\(\dfrac{-8}{14}=\dfrac{-4}{7}\)

\(H=\dfrac{2^{19}\cdot3^9\cdot5+3\cdot5\cdot2^{18}\cdot3^8}{2^9\cdot2^{10}\cdot3^9-2^{20}\cdot3^{10}}\)

\(=\dfrac{2^{19}\cdot3^9\cdot5+2^{18}\cdot3^9\cdot5}{2^{19}\cdot3^9-2^{20}\cdot3^{10}}\)

\(=\dfrac{2^{18}\cdot3^9\cdot5\cdot\left(2+1\right)}{2^{19}\cdot3^9\cdot\left(1-6\right)}\)

\(=\dfrac{1}{2}\cdot\dfrac{5\cdot3}{-5}=-\dfrac{1}{2}\cdot3=-\dfrac{3}{2}\)