Question

Simplify the expression. Plz show all work! (-2i)(8i)

Answer 1

$Solution,\left(-2i\right)\left(8i\right)=16$

$Steps:$

$\left(-2i\right)\left(8i\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a, =-2i8i$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:8=16, =-16ii$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}, ii=\:i^{1+1}=\:i^2, =-16i^2$

$i^2=-1,\\i^2,\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \:i^2=-1,-1$

$=-16\left(-1\right)$

$\mathrm{Simplify},\\-16\left(-1\right),\\\mathrm{Apply\:rule}\:-\left(-a\right)=a, =16\cdot \:1,\\ \mathrm{Multiply\:the\:numbers:}\:16\cdot \:1=16, 16$

$\mathrm{The\:Correct\:Answer\:is\:16}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

Answer 2

Hi Tifanny!

Simplify (-2i)(8i)

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Combine Like Terms:

-2i x 8i = 16

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Answer: 16

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Hope This Helps :)