Answer
$56[cos157^{\circ}+i\ sin157^{\circ}]$
Work Step by Step
$if\\ $
$z_1=r_1(cosθ_1+isinθ_1)\\$
$and\\$
$z_2=r_2(cosθ_2+isinθ_2)\\$
$then\\$
$z_1z_2=r_1r_2[cos(θ_1+θ_2)+isin(θ_1+θ_2)]$
$given\ problem\\$
$7(cos 110° + i sin 110°). 8(cos 47° + i sin 47°)\\$
$here\ r1=7,r2=8,θ1=110^{\circ},θ2=47^{\circ}\\$
$=7∗8[cos(110^{\circ}+47^{\circ})+isin(110^{\circ}+47^{\circ})\\$
$=56[cos157^{\circ}+i\ sin157^{\circ}]$
