#### Answer

$E=2+62i$

#### Work Step by Step

$I=5+7i$ $;$ $Z=6+4i$
Ohm's Law is defined by the equation $E=IZ$. In this case, $E$ is unknown.
Substitute $I$ and $Z$ into Ohm's Law equation:
$E=(5+7i)(6+4i)=...$
Evaluate the product indicated to find $E$. Do so by multiplying each term of the first factor by every term of the second factor:
$...=30+20i+42i+28i^{2}=...$
Substitute $i^{2}$ by $-1$ and simplify:
$...=30+62i+28(-1)=30+62i-28=2+62i$