Question

pls give ans of above question.​

Answer 1

$( {a}^{ \frac{1}{8} } + {a}^{ \frac{ - 1}{8} } )( {a}^{ \frac{1}{8} } - {a}^{ \frac{ - 1}{8} } )( {a}^{ \frac{1}{4} } + {a}^{ \frac{ - 1}{4} } )( {a}^{ \frac{1}{2} } + {a}^{ \frac{ - 1}{2} } ) \\ = ( {a}^{ \frac{1}{4} } - {a}^{ \frac{ - 1}{4} } )( {a}^{ \frac{1}{4} } + {a}^{ \frac{ - 1}{4} } )( {a}^{ \frac{1}{2} } + {a}^{ \frac{ - 1}{2} } ) \\ = ( {a}^{ \frac{1}{2} } - {a}^{ - \frac{ - 1}{2} } )( {a}^{ \frac{1}{2} } + {a}^{ \frac{ - 1}{2} } ) \\ = ( {a}^{1} - {a}^{ - 1} ) \\ \: \: \: \: \: \: \: \: \: \: \: (using \: property \: (x - y)(x + y) = {x}^{2} - {y}^{2} ) \\ = a - \frac{1}{a}$