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aleksand088
@aleksand088
August 2022
1
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Вычислите и написать с решением
i^15+i^24-i^49-i^37*i^51
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mikael2
Verified answer
I⁰=1 i¹=i i²=-1 i³=-i (i⁴=1)
15=4*3+3 i¹⁵=-i
24=6*4+0 i²⁴=1
49=4*12+1 i⁴⁹=i
37=4*9+1 i³⁷=i
51=4*12+3 i⁵¹=-i
-i+1-i+i*i=-2i+1-1=-2i
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Answers & Comments
Verified answer
I⁰=1 i¹=i i²=-1 i³=-i (i⁴=1)15=4*3+3 i¹⁵=-i
24=6*4+0 i²⁴=1
49=4*12+1 i⁴⁹=i
37=4*9+1 i³⁷=i
51=4*12+3 i⁵¹=-i
-i+1-i+i*i=-2i+1-1=-2i