Answer:
The value of the given expression is - 1
Step-by-step explanation:
I believe you meant this expression to be iº [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.
Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,
1 [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -
1 [tex]*[/tex] i [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -
1 [tex]*[/tex] i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.
