0 %
Úprava výrazu
Uprav výraz pre t, x, y, z ≠ 0:
\( \large\left[{\left({\frac{{{x^2}y}}{{{t^2}z}}}\right)^{-1}}:{\left({\frac{{xy}}{{zt}}}\right)^{-2}}\right]\cdot\frac{z}{y} \)
\( \normalsize={t^{2-2}}\cdot{z^{2-2}}\cdot{x^{2-2}}\cdot{y^{2-1}}={t^0}\cdot{z^0}\cdot{x^0}\cdot{y^1}=1\cdot1\cdot1\cdot y=y \)
\( \normalsize={t^{2-2}}\cdot{z^{2-1}}\cdot{x^{2-2}}\cdot{y^{2-2}}={t^0}\cdot{z^1}\cdot{x^0}\cdot{y^0}=1\cdot z\cdot1\cdot1=z \)
\( \normalsize={t^{2-1}}\cdot{z^{2-2}}\cdot{x^{2-2}}\cdot{y^{2-2}}={t^1}\cdot{z^0}\cdot{x^0}\cdot{y^0}=t\cdot1\cdot1\cdot1=t \)
\( \normalsize={t^{2-2}}\cdot{z^{2-2}}\cdot{x^{2-2}}\cdot{y^{2-2}}={t^0}\cdot{z^0}\cdot{x^0}\cdot{y^0}=1\cdot1\cdot1\cdot1=1 \)