³√(-a⁶ * b³ * c²¹ / c⁹ * a¹²
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³√(-a⁶ * b³ * c²¹ / c⁹ * a¹²
We also know that the power n on cube roots of unity returns as follows;
ωn=⎧⎩⎨⎪⎪1ωω2if n≡0mod(3)if n≡1mod(3)if n≡2mod(3)
We know that the general form of a complex number is z=a+ib where a∈R is called the real part of z and b∈R is called the imaginary part of the complex number. We know that the modulus of a complex x number is defined as |z|=|a±ib|=a2+b2−−−−−−√
. We know the property that |z|2=zz¯¯¯ . We also know the multiplicative and additive property of conjugate respectively as;
Answer:
We also know that the power n on cube roots of unity returns as follows;
ωn=⎧⎩⎨⎪⎪1ωω2if n≡0mod(3)if n≡1mod(3)if n≡2mod(3)
We know that the general form of a complex number is z=a+ib where a∈R is called the real part of z and b∈R is called the imaginary part of the complex number. We know that the modulus of a complex x number is defined as |z|=|a±ib|=a2+b2−−−−−−√
. We know the property that |z|2=zz¯¯¯ . We also know the multiplicative and additive property of conjugate respectively as;
³√(-a⁶ * b³ * c²¹ / c⁹ * a¹²