Question

a expressão  (³√⁶√2⁹)⁵ × (⁶√³√2⁹)⁵ equivale a

Answer 1

$( \sqrt[3]{ \sqrt[6]{ 2^{9} } } ) ^{5} .( \sqrt[6]{ \sqrt[3]{ 2^{9} } }) ^{5}$

$( \sqrt[18]{ 2^{9} } ) ^{5} .( \sqrt[18]{ 2^{9} } ) ^{5} =$

$( \sqrt{2} ) ^{5} .( \sqrt{2} ) ^{5} = \sqrt{ 2^{10} } = 2^{5} =32$