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If i^{2} = -1, calculate the value of 3i^{2} + i^{3} - i^{4}.

Question

If $i^{2} = - 1$ , calculate the value of $3 i^{2} + i^{3} - i^{4}$ .

- 4 - i

- 2 - i

2 + i

4 + i

6 + 2 i

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Owen Discussed

i^{2} = - 1

, calculate the value of

3 i^{2} + i^{3} - i^{4}

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

i

is an imaginary number whose value is

- 1

So,

i^{2} = - 1

i^{3} = i^{2} * i = - 1 * i = - i

i^{4} = (i^{2})^{2} = (- 1)^{2} = 1

So the value of

3 i^{2} + i^{3} - i^{4}

\Rightarrow 3 \times (- 1) + (- i) - (1)

\Rightarrow - 3 - i - 1 = - 4 - i

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Question Text	If $i^{2} = - 1$ , calculate the value of $3 i^{2} + i^{3} - i^{4}$ .
Answer Type	Text solution:1
Upvotes	150