Question

i power30 + i power 40+ i power 60

Answer 1

Answer:

3

Step-by-step explanation:

i=-1

i^30+i^40+i^60

(-1)^30+(-1)^40+(-1)^60

1+1+1

=3

Answer 2

Question →

i^30 + i^40 + i^60 .

Solution →

i^30 , i^40 and i^60 can be written in another way .

Here writing power of iota as the Multiple of 4 .

{i^(4×7)× i^2 } + { i^(4×19)} + {i^(4×15)}

✍️ As we know that i⁴ = 1 and also multiple of i⁴ is equal to 1 . So,

1 × i² + 1 + 1

i² + 2

✍️ And i² = -1

-1 +2

1

So, i^30 + i^40 + i^60 = 1 .

$\huge\mathfrak{Hope\:It\:Helps}$