Complex multiplication, powers and rotations

Practice complex multiplication, polar division and De Moivre’s theorem in this focused precalculus extension. Move from geometric scaling and rotation to exact integer powers, inverse transformations and proof-step analysis. Single-select and multiselect problems connect rectangular calculations with trigonometric form, including nonzero restrictions for reciprocals. Work each problem independently and use the detailed explanations to check your method, angle conventions and common exponent errors. This set assumes polar form and angle-addition identities; Euler notation is not required.