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OpenStudy (anonymous):
Simplify this imaginary unit..help please?
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OpenStudy (anonymous):
\[i^{37}\]
OpenStudy (harsimran_hs4):
i ^ 4 = 1 i ^ 37 = i^36 * i = (i^4) ^ 9 * i = 1 * i = i
OpenStudy (anonymous):
We know that \[i^4= 1\] Now \[i^(37) \] can be written as i^(36) * i = (i^(4))^9 * i = i
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