[tex]Solution,\left(-2i\right)\left(8i\right)=16[/tex]
[tex]Steps:[/tex]
[tex]\left(-2i\right)\left(8i\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a, =-2i8i[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:8=16, =-16ii[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}, ii=\:i^{1+1}=\:i^2, =-16i^2[/tex]
[tex]i^2=-1,\\i^2,\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \:i^2=-1,-1[/tex]
[tex]=-16\left(-1\right)[/tex]
[tex]\mathrm{Simplify},\\-16\left(-1\right),\\\mathrm{Apply\:rule}\:-\left(-a\right)=a, =16\cdot \:1,\\ \mathrm{Multiply\:the\:numbers:}\:16\cdot \:1=16, 16[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:16}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
