Zadanie Doprowadź do najprostszej postaci: 3^12: (1/3)^7/ -81^2
Zadanie 7 Oblicz a) 2^8:(2*2^4) b) (\sqrt2-3\sqrt3)^2
źródło:
\frac{3^{12}:(\frac{1}{3})^7}{-81^2}=\frac{3^{12}:3^{-7}}{-(3^4)^2}=\frac{3^{12-(-7)}}{-3^8}=-\frac{3^{19}}{3^8}=-3^{11}
Zadanie 7 a) 2^8:(2*2^4)=2^8:2^5=2^3 b) (\sqrt2-3\sqrt3)^2=(\sqrt2)^2-2*\sqrt2*3\sqrt3+(3\sqrt3)^2=2-6\sqrt6+9*3=29-6\sqrt6