Question

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Evaluate ====>

${i}^{30} + {i}^{40} + {i}^{60}$
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Answer 1

Step-by-step explanation:

As we know that

ναℓυє οƒ.

{i}^{30} + {i}^{40} + {i}^{60}i

30

+i

40

+i

60

{i}^{30} = {i}^{2}i

30

=i

2

{i}^{40} = {i}^{4}i

40

=i

4

{i}^{60} = {i}^{4}i

60

=i

4

i² + i⁴ + i⁴

we know that

i² = -1

i⁴ = 1

i⁴ = 1

so putting these values .

= -1+1+1

= +1 αղs

Answer 2

ναℓυє οƒ.

${i}^{30} + {i}^{40} + {i}^{60}$

${i}^{30} = {i}^{2}$

${i}^{40} = {i}^{4}$

${i}^{60} = {i}^{4}$

i² + i⁴ + i⁴

we know that

i² = -1

i⁴ = 1

i⁴ = 1

so putting these values .

= -1+1+1

= +1 αղs