If $z = 3 i$ $z=3i$ , what is $z^{3}$ $z^3$ ?

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Answer 1 · 2017-03-16T09:26:36

$z^{3} = - 27 i$ $z^3=-27i$

As $z = 3 i$ $z=3i$ ,

$z^{3} = 3 i \times 3 i \times 3 i$ $z^3=3ixx3ixx3i$

= $27 i^{3}$ $27i^3$

= $27 \times i^{2} \times i$ $27xxi^2xxi$

= $27 \times (- 1) \times i$ $27xx(-1)xxi$

= $- 27 i$ $-27i$

If z=3iz=3i, what is z3z^3?