Question

What is i^84?
A. -i
B. i
C. -1
D. 1

Answer 1

1

Answer 2

\[i^{84}=i^{4\cdot21}=(i^4)^{21}=1^{21}=1\]

Answer 3

What about finding the equivalent to \[\sqrt{-121}\] ?

Answer 4

11*11=121
so \[\sqrt{-121}=11i\]

Answer 5

- will be (i^2)^42 =(-1)^42 =((-1)^2)^21 =(1)^21 =1

Answer 6

yes

Answer 7

the definition of \(i\) is that \[i=\sqrt{-1}\]hence \[i^{84}=(i^{2})^{42}=(-1)^{42}=1\]