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

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