Question

What is the value of the expression i0•i1•i2•i3•i4

Answer 1

$\bf \stackrel{1}{i^0}\cdot \stackrel{i}{i^1}\cdot \stackrel{-1}{i^2}\cdot \stackrel{-i}{i^3}\cdot \stackrel{1}{i^4}\implies i\cdot i\cdot 1\implies i^2\implies -1$

Answer 2

I hope you are trying to write

$i^0*i^1*i^2*i^3*i^4$

Now, $i^0=1$ Because any number to exponent 0 always result 1.

$i^1=i$ Any number to exponent 1 will result the same number.

$i^2= -1$ By using the property of imaginary number.

$i^3= i^2*i =(-1)*i= -i$

$i^4=i^2*i^2=(-1)*(-1)=1$

Now we can plug in these values in the given expression to get the value of the expression. So,

$i^0*i^1*i^2*i^3*i^4$

=$1*i*(-1)*(-i)*1$

=$i^2$

=-1

So, -1 is the correct choice.