Obliczenia od a) do e)
[tex](-2)^2=(-2)\cdot(-2)=4\\\\(-3)^3=(-3)\cdot(-3)\cdot(-3)=-27\\\\(\frac{2}{5})^2=\frac{2}{5}\cdot\frac{2}{5}=\frac{4}{25}\\\\(-1)^6=(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)\cdot(-1)=1\\\\(\frac{5}{4})^{-1}=(\frac{4}{5})^1=\frac{4}{5}[/tex]
Obliczenia od f) do i)
[tex](-\frac{2}{3})^{-2}=(-\frac{3}{2})^2=-\frac{3}{2}\cdot(-\frac{3}{2})=\frac{9}{4}=2\frac{1}{4}\\\\(1\frac{2}{3})^{-2}=(\frac{5}{3})^{-2}=(\frac{3}{5})^2=\frac{3}{5}\cdot\frac{3}{5}=\frac{9}{25}\\\\2^{-1}+2^{-2}+2^{-3}=(\frac{1}{2})^1+(\frac{1}{2})^2+(\frac{1}{2})^3=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}=\frac{4}{8}+\frac{2}{8}+\frac{1}{8}=\frac{7}{8}\\\\16\cdot2^{-3}=16\cdot(\frac{1}{2})^3=16\cdot\frac{1}{8}=2[/tex]
