Question

What is i^16 - i^15 + 1^14 - 1^13?

I think its zero, but if you could get back to me with the answers and how you got it that would be great :)

Answer 1

`\bf \stackrel{\stackrel{i^(4+4+4+4)}{i^4i^4i^4i^4}}{i^(16)}-\stackrel{\stackrel{i^(2+3)}{i^2i^3} }{i^5}+\stackrel{\stackrel{i^(4+4+4+2)}{i^4i^4i^4i^2}}{i^(14)}-\stackrel{\stackrel{i^(4+4+4+1)}{i^4i^4i^4i}}{i^(13)} \\\\\\ (1\cdot 1\cdot 1\cdot 1)-(-1\cdot i)+(1\cdot 1\cdot 1\cdot -1)-(1\cdot 1\cdot 1\cdot i) \\\\\\ 1+i-1-i\implies 0`