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How do you simplify $i^7$ ?

1 Answer

Feb 7, 2016

$i^7= -i$

Explanation:

$i^7 = (i^2)^3xxi$

$color(white)("XXX")=(-1)^3xxi$

$color(white)("XXX")=(-1)^2xx(-1)xxi$

$color(white)("XXX")=1xx(-1)xxi$

$color(white)("XXX")=-i$

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