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Complex roots and roots of unity

Question 1 of 8

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\[z^{4}=0\]

Give the number D of distinct roots, the common modulus R, and the multiplicity M of each distinct root. Enter ArgDefined=1 if the roots have an argument, otherwise 0. Enter SpacingDefined=1 if their directions have a cyclic angular spacing, otherwise 0; give that spacing as \(\mathrm{Step}\times\pi\), with Step=0 only as the undefined placeholder

6 marks

Enter exact values in the stated fields. All angles are in radians; an angle field gives the coefficient of π