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Snowcat [4.5K]
2 years ago
11

Please help for brainliest!!!!

Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

d)

{i}^{740}

Step-by-step explanation:

i¹= i

i²= -1

i³= -i

i⁴= 1

i¹²⁴= i^(124 +0)

i^124 . i^0

i^(4×31) . i^0 = 1³¹. i^0

1.i^0= i^0

= 1

a) i^179= i^(176+3)

i^176 . i³ = i^(4×44) . i³

1⁴⁴. i³ = 1. i³

= -i

b) i^582 = i^(580 + 2)

i^580 . i²= i^(4×145) . i²

1^145 . i²= 1.i²

= -1

c) i^165= i^(164+1)

i^164 . i¹ = i^(4×41) . i¹

1⁴¹ . i¹ = 1.i

= i

d) i^740= i^(740+0)

i^740 . i^0 = i^(4×185) . i^0

1^185 . i^0 = 1. i^0

= 1

i¹²⁴= i^740 = 1

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