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How do you simplify #i^94#?

1 Answer

Feb 7, 2016

#i^94 =- 1#

Explanation:

#94 = 2xx47#
#rarr i^94 = (i^2)^47 = (-1)^47#

#(-1)^47 = (-1)^46xx(-1)#

#color(white)("XXXX")=((-1)^2)^23)xx(-1)#

#color(white)("XXXX")=(1^23)xx(-1)#

#color(white)("XXXX")=1xx(-1)#

#color(white)("XXXX")=-1#

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