Question 547275
(1)
{{{ 1/( -8 - 5i ) }}}
You can put the minus signs in front of the fraction
{{{ - 1/( 8 + 5i ) }}}
Multiply top and bottom by {{{ 8 - 5i }}}
{{{ (- 1/( 8 + 5i ))*( ( 8 - 5i ) / ( 8 - 5i ) ) }}}
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{{{ ( -1*( 8 - 5i )) / ( 64 + 40i - 40i + 25i^2 ) }}}
Note that {{{ i^2 = -1 }}}
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{{{ ( -8 + 5i ) / ( 64 - 25 ) }}}
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{{{ ( -8 + 5i ) / 39 }}} answer
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(2)
{{{ i / ( -2 - 8i ) }}}
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{{{ -i / ( 2 + 8i ) }}}
Multiply top and bottom by {{{ 2 - 8i }}}
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{{{ (-i / ( 2 + 8i ))*( ( 2 - 8i ) / ( 2 - 8i ) ) }}} 
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{{{ ( -i*( 2 - 8i ) ) / ( 4 + 16i - 16i - 64i^2 ) }}}
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{{{ ( -2i + 8i^2 ) / ( 4 + 64 ) }}}
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{{{ ( -8 - 2i ) / 68 }}}
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{{{ ( -4 - i ) / 34 }}} answer
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This is all I have time for. You should have the idea now