Question

упростите выражение

Answer 1

$\sqrt[4]{a \times \sqrt[3]{ {a}^{2} } } = \sqrt[4]{a \times {a}^{ \frac{2}{3} } } = \sqrt[4]{ {a}^{1 + \frac{2}{3} } } = \sqrt[4]{ {a}^{ \frac{5}{3} } } = \sqrt[12]{ {a}^{5} }$

Answer 2

$\sqrt[4]{a \times {a}^{ \frac{2}{3} } } = {( {a}^{1 + \frac{2}{3} } )}^{ \frac{1}{4} } = {a}^{ \frac{5}{3 \times 4} } = {a}^{ \frac{5}{12} } = \\ = \sqrt[12]{ {a}^{5} }$