Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

simplify j^12

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?

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?

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 \(\sqrt{-1}\)

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

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!