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  • Complex Numbers
  • Tests in Complex Numbers
  • Powers of complex numbers

Powers of complex numbers

ans:
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  • Question 1:
    1 pts
    		Is the following statement true or false? $$i^2 = -1$$
  • Question 2:
    1 pts
    		Is the following statement true or false? $$i^4 = 1$$
  • Question 3:
    2 pts
    		Find $i^6$.
    $1$
    $-1$
    $i$
    $-i$
  • Question 4:
    3 pts
    		Find $i^{23}$.
    $1$
    $-1$
    $i$
    $-i$
  • Question 5:
    2 pts
    		Find $(1+i)^2$.
    $2$
    $-2$
    $2i$
    $-2i$
  • Question 6:
    3 pts
    		Find $(1+i)^{10}$.
    $32$
    $-32$
    $32i$
    $-32i$
  • Question 7:
    2 pts
    		Find $(1-i)^2$.
    $2$
    $-2$
    $2i$
    $-2i$
  • Question 8:
    3 pts
    		Find $(1-i)^{12}$.
    $64$
    $-64$
    $64i$
    $-64i$
  • Question 9:
    2 pts
    		Find $i^{-1}$.
    $1$
    $-1$
    $i$
    $-i$
  • Question 10:
    2 pts
    		Find $i^{-15}$.
    $1$
    $-1$
    $i$
    $-i$

Complex numbers

Sequences and series