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Properties of Iota

Solve: i253...

Question

Solve: $(i^{25})^{3} \times i$

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Solution

$(i^{25})^{3}$
$= i^{75}$
$= (i^{4})^{18} i^{3}$
$= i^{3} (i^{4} = 1)$
$= - i (i^{2} = - 1)$
$\Rightarrow (i^{25})^{3} \times i = 1$

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Similar questions

Q. The polar form of (i²⁵)³ is
(a)

\cos \frac{π}{2} + i \sin \frac{π}{2}

(b) cos π + i sin π
(c) cos π − i sin π
(d)

\cos \frac{π}{2} - i \sin \frac{π}{2}

Q. The value of

i^{253}

Q. Write (i²⁵)³ in polar form.

Q. The polar form of (i²⁵)³ is ____________.

i^{2} = - 1

find the value of

i^{253}

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Properties of Iota

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