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e.w [ begin{aligned} & frac{70-8 i}{7+2 i} = & frac{(10-8 i)(7-2 i)}{(7+2 i)(7-2 i)} = & frac{70+20 i+56 i+16 i^{2}}{(7)^{2}-(2 i)^{2}} =

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e.w \\[ \\begin{aligned} & \\frac{70-8 i}{7+2 i} \\\\ = & \\frac{(10-8 i)(7-2 i)}{(7+2 i)(7-2 i)} \\\\ = & \\frac{70+20 i+56 i+16 i^{2}}{(7)^{2}-(2 i)^{2}} \\\\ = & \\frac{70+20 i+16 i^{2}}{49-4 i 2} \\\\ = & \\frac{70+70 i+16 \\times(-7)}{49-4 \\times(-1)} \\\\ = & \\frac{70+70 i-16}{49+4} \\\\ = & \\frac{54+70 i}{53} \\end{aligned} \\]

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