Aiuto espressione risultato errato!

$\left ( \left ( \dfrac{(2\cdot 3^2)^5 \cdot (-2\cdot3)^4}{-(2^2\cdot 3)^2 \cdot  -(3^2)^6 } - \dfrac{(8^2)^2}{8^3} \right ) - \dfrac{(12^2)^2}{(12 \cdot 3)^2} \right ) \div \left ( + \dfrac{100^3 \cdot 4}{1000 \cdot 10^3} \right )$

$\left ( \left ( + \dfrac{2^5\cdot 3^{10} \cdot 2^4\cdot 3^4}{2^4\cdot 3^2 \cdot 3^{12} } - \dfrac{8^4}{8^3} \right ) - \dfrac{12^4}{12^2 \cdot 3^2} \right ) \div ( 2^2)$

$\left ( \left ( \dfrac{2^5\cdot 3^{10} \cdot 2^4\cdot 3^4}{2^4\cdot 3^2 \cdot 3^{12} } - \dfrac{8^4}{8^3} \right ) - \dfrac{12^4}{12^2 \cdot 3^2} \right ) \div ( 2^2)$

$((32 - 8) -16)\div 4 = 2$

(sapendo che $-2^2 \neq (-2)^2$)

((18⁵/(-12²)*6⁴/(-9⁶)-8⁴/8³)-4²)/(10⁶/10³/10³*4)=

((18⁵/12²*6⁴/9⁶-8)-16)/4=

((13122*(2/9)⁴-8)-16)/4=

((13122*16/6561-8)-16)/4=

((2*16-8)-16)/4=

((32-8)-16)/4=

(24-16)/4=

8/4=2