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g100num [7]
2 years ago
6

Simplify showing all steps:

mula1" title="4i( \frac{1}{2}i)^2(-2i)^2" alt="4i( \frac{1}{2}i)^2(-2i)^2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
fenix001 [56]2 years ago
5 0
We know that i=√-1
so we do pemdas
\frac{1}{2} i=\frac{ \sqrt{-1} }{2}
exponents
( \frac{ \sqrt{-1} }{2} )^{2}= \frac{( \sqrt{-1} )^{2}}{2^{2}}=\frac{-1}{4}
then (-2i)^{2}=-2 times -2 times i times i=4 times -1=-4
now we have

4i( \frac{-1}{4} )(-4)=( \frac{-4i}{4} )(-4)=( -i)(-4)=4i=aprox 4√-1

the answer is 4i
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