Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.)

Question

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to four decimal places.) ​  ​

Quizplus · Accepted Answer

Applying DeMoivre's Theorem, we have:

(11e^(i6π/11))^5 = 11^5 * e^(i5*6π/11)
= 11^5 * e^(i30π/11)
= 11^5 * e^(i2π + i8π/11)
= 11^5 * e^(i8π/11)
= 11^5 * (cos(8π/11) + i*sin(8π/11))

Rounding to four decimal places, we get:

Answer: D) 11eacce6_1f41_ed73_9f49_c776d5844c0d_TB7896_11

Use DeMoivre's Theorem to Find the Indicated Power of the Complex