CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties of Iota

Solve: i253...

Question

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

Open in App

Solution

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

Suggest Corrections

thumbs-up

0

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}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Domestic Electric Circuits

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Properties of Iota

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon