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Mathematics 13 Online
OpenStudy (anonymous):

(-i)^73

OpenStudy (anonymous):

-1

OpenStudy (anonymous):

for any multiple of 4, then \(\large i^{4k}=1 \), k is a positive integer. since 72 is a multiple of 4 then \(\large i^{72}=1 \) so \(\large (-i)^{73}=(-i)^{72}\cdot (-i)^1= (1)\cdot (-i)^1=-i \)

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