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olga_2 [115]
3 years ago
15

If i=sqr-1, what is the value of i^3? -1 i 1 -i

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

After solving we get \mathbf{i^3=-i}

Option D is correct.

Step-by-step explanation:

We are given:

If  i=\sqrt{-1} we need to find the value of i^3

Solving:

i=\sqrt{-1}

Taking cube on both sides

i^3=(\sqrt{-1})^3\\

We can write a^3= a^2.a^1 Using this for solving:

i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \   (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i

So, after solving we get \mathbf{i^3=-i}

Option D is correct.

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