Answer
$\frac{8}{41}+\frac{10}{41}i$
Work Step by Step
$\frac{2}{4-5i}=\frac{2}{4-5i}*\frac{4+5i}{4+5i}=\frac{8+10i}{16+25}=$$\frac{8}{41}+\frac{10}{41}i$
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