Mathematics
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OpenStudy (anonymous):
simplify j^12
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OpenStudy (asnaseer):
Does j here represent \(\sqrt{-1}\)?
OpenStudy (anonymous):
is there anymore to this quesion
OpenStudy (anonymous):
no
OpenStudy (asnaseer):
if it does, then think about the value of \(j^n\) when n is even and when n is odd.
OpenStudy (asnaseer):
if it doesn't then what do you mean by simplify here?
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OpenStudy (anonymous):
i saw the solution in a txtbk that
=(j^4)^3 =1^3 =1
OpenStudy (asnaseer):
this implies \(j=\sqrt{-1}\)
OpenStudy (anonymous):
how
OpenStudy (anonymous):
IN OTHER WORD j IS A complex number asnaseer is correct
OpenStudy (asnaseer):
are you studying complex numbers?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
i''l do them next semester for now i just know some basics
OpenStudy (asnaseer):
so j here represents an imaginary number. some people use i as the default symbol for imaginary numbers.
OpenStudy (anonymous):
k
OpenStudy (asnaseer):
eg.:\[\sqrt{-4}=\sqrt{4}*\sqrt{-1}=2*\sqrt{-1}=2j\]it is a way or representing the imaginary number \(\sqrt{-1}\)
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OpenStudy (asnaseer):
*it is a way of representing...
OpenStudy (asnaseer):
so j is used as a placeholder for \(\sqrt{-1}\)
OpenStudy (anonymous):
an i use x as a placeholder i mean any alphabet
OpenStudy (anonymous):
k tnx
OpenStudy (asnaseer):
yw