Evaluate -20 and -30-

w^20 =(w^3)^6× w^2 =w^2 w^ 30 =(w^3)^ 10 =1^ 10 =1 ...

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

Complex Numbers

Evaluate ω2...

Question

Evaluate $ω^{20}$ and $ω^{- 30}$ .

Open in App

Solution

Suggest Corrections

Similar questions

{(\begin{matrix} 1 & 0 0 & 1 \end{matrix}) . (\begin{matrix} ω & 0 0 & ω^{2} \end{matrix}) . (\begin{matrix} ω^{2} & 0 0 & ω^{2} \end{matrix}) . (\begin{matrix} 0 & 1 1 & 0 \end{matrix}) . (\begin{matrix} 0 & ω^{2} ω & 0 \end{matrix}) . (\begin{matrix} 0 & ω ω^{2} & 0 \end{matrix}) .}

ω^{2} = 1, ω = 1

{\begin{matrix} [\begin{matrix} 1 & 0 0 & 1 \end{matrix}], [\begin{matrix} ω & 0 0 & ω^{2} \end{matrix}], [\begin{matrix} ω^{2} & 0 0 & ω \end{matrix}], [\begin{matrix} 0 & 1 1 & 0 \end{matrix}], [\begin{matrix} 0 & ω^{2} ω & 0 \end{matrix}], [\begin{matrix} 0 & ω ω^{2} & 0 \end{matrix}] \end{matrix}}

ω^{2} = 1, ω \neq 1

ω

ω^{2}

(1 - ω^{4} + ω^{8}) (1 - ω^{8} + ω^{16})

{sin}^{2} 30^{\circ} + {sin}^{2} (90^{\circ} - 30^{\circ})

∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & ω & ω^{2} ω & ω^{2} & 1 ω^{2} & ω & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣

ω

Join BYJU'S Learning Program