Question 35306
{{{ (1 + 5i)^-1 }}} is {{{ 1/(1+5i) }}} which is OK as an answer in itself. However, we tend to keep any  imaginary parts off the denominator, so:


{{{ (1/(1+5i))*((1-5i)/(1-5i)) }}}
{{{ (1-5i)/((1-5i)(1+5i)) }}}
{{{ (1-5i)/(1+5i-5i-25i^2) }}}
{{{ (1-5i)/(1-25(-1)) }}}
{{{ (1-5i)/(1+25) }}}
{{{ (1-5i)/(26) }}}


jon.