Question

find the value of w^18​

Answer 1

Answer:

1

Step-by-step explanation:

w¹⁸ = (w³)⁶

as we all know that w³ = 1

w³)⁶ = (1)⁶

i.e. 1

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Answer 2

$\sf { \omega}^{18} = 1$

Given :

The expression $\sf { \omega}^{18}$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf { \omega}^{18}$

Step 2 of 2 :

Find the value of the expression

We know ω is the cube root of unity such that ω³ = 1

Now we have

$\sf { \omega}^{18}$

$\sf = {({ \omega}^{3})}^{6}$

$\sf = {(1)}^{6}$

$\sf =1$

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