If #z=3i#, what is #z^3#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Shwetank Mauria Mar 16, 2017 #z^3=-27i# Explanation: As #z=3i#, #z^3=3ixx3ixx3i# = #27i^3# = #27xxi^2xxi# = #27xx(-1)xxi# = #-27i# Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number #3+4i# in the complex plane? How do I graph the complex number #2-3i# in the complex plane? How do I graph the complex number #-4+2i# in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number #4i# in the complex number plane? How do I use graphing in the complex plane to add #2+4i# and #5+3i#? How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#? See all questions in Complex Number Plane Impact of this question 1278 views around the world You can reuse this answer Creative Commons License