Zjednodušenie výrazu
Zjednoduš nasledujúci výraz pre a > 0 a b > 0:
\( \normalsize\sqrt{a\cdot\sqrt[3]{{a\cdot\sqrt[4]{a}}}} \)
\( \normalsize={a^{\left({\frac12+\frac16+\frac{1}{{24}}}\right)}}={a^{\left({\frac{{12}}{{24}}+\frac{4}{{24}}+\frac{1}{{24}}}\right)}}={a^{\frac{{17}}{{24}}}} \)
\( \normalsize={a^{\left({\frac12+\frac16+\frac{1}{{24}}}\right)}}={a^{\left({\frac{{12}}{{24}}+\frac{5}{{24}}+\frac{1}{{24}}}\right)}}={a^{\frac{{18}}{{24}}}} \)
\( \normalsize={a^{\left({\frac12+\frac16+\frac{1}{{24}}}\right)}}={a^{\left({\frac{{13}}{{24}}+\frac{4}{{24}}+\frac{1}{{24}}}\right)}}={a^{\frac{{18}}{{24}}}} \)
\( \normalsize={a^{\left({\frac12+\frac16+\frac{1}{{24}}}\right)}}={a^{\left({\frac{{12}}{{24}}+\frac{4}{{24}}+\frac{2}{{24}}}\right)}}={a^{\frac{{18}}{{24}}}} \)