Question

What is the value of the expression iºxi1 x 2 x 3 xi4? a) 1 b) -1 c) i d) -i

Answer 1

Answer:

Option b.

Step-by-step explanation:

Note: The given expression is not in correct form. Consider the given expression is $i^0\times i^1\times i^2\times i^3\times i^4$.

Let as consider the given expression is  

$i^0\times i^1\times i^2\times i^3\times i^4$

We know that,

$i^0=1,i^2=-1,i^3=-i,i^4=1$

Using these values, we get

$i^0\times i^1\times i^2\times i^3\times i^4=1\times i\times (-1)\times (-i)\times 1$

$=i^2$

$=-1$

The value of given expression is -1.

Therefore, the correct option is b.