The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
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Answer:
N represents (-2,3)
Step-by-step explanation:
x axis of N = -2
y axis of N = 3
Answer:
oh uhm that is 3,4 <3
Step-by-step explanation:
Answer:
278528
Step-by-step explanation:
1st we need to get the 1st 2 values of exponets
4 to the power of 9 is 4x4 9 times and that's 262144,
4 to the power of 7 is 4x4 7 times and that's 16384
16,384 + 262,144 is 278528
A and sjiababsiana ahaha sjajaBba
