8.5 Products, Quotients, Powers and Roots of complex numbers

When we multiply two complex numbers in polar form

• We add the moduli and multiply the arguments

• We multiply both the arguments and the moduli

• We multiply the moduli and add the arguments

• We multiply the moduli and subtractthe arguments

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CCSS.HSN.CN.B.4

When we divide two complex numbers in polar form

• We subtract the moduli and multiply the arguments

• We divide both the arguments and the moduli

• We divide the moduli and add the arguments

• We divide the moduli and subtract the arguments

Tags

CCSS.HSN.CN.B.4

Tags

CCSS.HSN.CN.B.4

Tags

CCSS.HSN.CN.B.4

DeMoivre's Theorem states the following:

• when we try to get the nth power of a complex number, we multiply both the modulus and the arguments by n.

• when we try to get the nth power of a complex number, we raise both the modulus and the arguments to the nth power.

• when we try to get the nth power of a complex number, we raise the Arguments to the nth power and multiply the modulus by n.

• when we try to get the nth power of a complex number, we raise the modulus to the nth power and multiply the arguments by n.

Tags

CCSS.HSN.CN.B.4

• The third fifth root

• The fifth sixth root

• the third fourth root

• the first fifth root