Zjednodušenie výrazu
Zjednoduš nasledujúci výraz pre a > 0 a b > 0:
\( \large{{{b^{\frac23}}}}:{{{b^{-\frac13}}}} \)
\( \large\frac{{{b^{\frac23}}}}{{{b^{-\frac13}}}}={b^{\left[{\frac23-\left({-\frac13}\right)}\right]}}={b^{\left({\frac23+\frac23}\right)}}={b^{\frac43}} \)
\( \large\frac{{{b^{\frac23}}}}{{{b^{-\frac13}}}}={b^{\left[{\frac23-\left({-\frac13}\right)}\right]}}={b^{\left({\frac23-\frac13}\right)}}={b^{\frac13}} \)
\( \large\frac{{{b^{\frac23}}}}{{{b^{-\frac13}}}}={b^{\left[{\frac23-\left({-\frac13}\right)}\right]}}={b^{\left({\frac23+\frac13}\right)}}={b^1}=b \)
\( \large\frac{{{b^{\frac23}}}}{{{b^{-\frac13}}}}={b^{\left[{\frac23-\left({-\frac13}\right)}\right]}}={b^{\left({\frac23+\frac23}\right)}}={b^{\frac53}} \)