Simplify the powers of i
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Simplify the powers of i
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WebbSimplify each of the following powers of i into either −𝟏,𝟏,𝒊,𝐨𝐫−𝒊. 1. 𝑖10 21 2. 𝑖 363. 𝑖 4. 𝑖45 5. 𝑖87 Simplify the following square roots. 6. √−27 7. √−100 8. √−125 9. −32 10. √−72 Simplify the following. Identify as Real, Imaginary or Complex. 11. √−36+ −9 Real Imaginary 12. 6+(2𝑖)2 Webb31 jan. 2024 · So this square root of i makes an angle of π / 4 (or 45 ∘) in the complex plane, and has a length of 1. (The other is in the third quadrant.) In real-imaginary form, this is 2 / 2 + i 2 / 2, which is what you wrote at the end. You can convert from polar to this form by the formula r cos θ + i r sin θ.
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Webb4i is: on the vertical axis. 6 is: on the horizontal axis. 5-2i is: in quadrant IV. Select the expression that is equivalent to 4-3i . 5. Compare and contrast the absolute value of a …
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