Question

Simplify ${[i^{17}+{\left(\frac{1}{i}\right)}^{25}]}^3$

Answer 1

$i^{17}=i^{16}.i=i$

$i^{25}=i^{24}\times i=i$

$\frac{1}{i}=-i$

${(i^{17}+{\left(\frac{1}{i}\right)}^{25})}^3={(i+\frac{1}{i})}^3={(i-i)}^3=0^3=0$