Question

simplify: (-4i)^5 ....why isn't the answer 16i

Answer 1

Because (-4)^5=-1024

Answer 2

and i^5=i

Answer 3

hmm interesting okay, thanks!

Answer 4

What part is interesting?

4^2 is 16.
4^5 = 4*4*4*4*4

Answer 5

i did.. i^4-i=(i^2)^2

=(-4(-1))^2-i
=16i

Answer 6

i'm sorry alison I don't understand that type of reasoning

\[(-4i)^5=(-4)^5(i)^5=(-4)(-4)(-4)(-4)(-4)i^{4+1}=-1024i^4i=-1024(1)i=-1024i\]

Answer 7

my answer got cutoff
-1024i

Answer 8

Thanks okay, I understand your way better!