Question

Simplify the expression. Plz show all work!


(-2i)(8i)

Answer 1

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 :)

Answer 2

`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}`