Question 1039343
{{{(a^(1/8) + a^(-1/8)) (a^(1/8) - a^(-1/8)) (a^(1/4) + a^(-1/4)) (a^(1/2) + a^(-1/2))}}}

={{{(a^(1/4) - a^(-1/4)) (a^(1/4) + a^(-1/4)) (a^(1/2) + a^(-1/2))}}}

= {{{(a^(1/2) - a^(-1/2)) (a^(1/2) + a^(-1/2))}}}

= {{{a - a^(-1)}}}