Question

Scrieți fractia sub formă de un radical

Answer 1

Răspuns:

Explicație pas cu pas:

$\frac{\sqrt[6]{a^{5} }}{\sqrt[12]{a^{11}} }= \frac{\sqrt[6*2]{a^{5*2} }}{\sqrt[12]{a^{11}} }= \frac{\sqrt[12]{a^{10} }}{\sqrt[12]{a^{11}} }=\sqrt[12]{\frac{a^{10}}{a^{11}}}=\sqrt[12]{a^{10-11}} =\sqrt[12]{a^{-1}}$

Answer 2

$\dfrac{\sqrt[6]{a^5}}{\sqrt[12]{a^{11}}} = \dfrac{a^{\frac{5}{6}}}{a^{ \frac{11}{12}}} = a^{\frac{5}{6}-\frac{11}{12}} = a^{\frac{10-11}{12}} = a^{-\frac{1}{12}} = \dfrac{1}{\sqrt[12]a}$