What is the value of the expression i^0 x i^1 x i^2xi^3xi^4

Answer: The answer is - 1.Step-by-step explanation: We are given to find the value of the given expression[tex]E_c=i^0\times i^1\times i^2\times i^3\times i^4.[/tex]We know that 'i' is an imaginary unit and its value is √-1. So, we have[tex]i^0=(\sqrt{-1})^0=1,\\\\i^1=i=\sqrt{-1},\\\\i^2=(\sqrt{-1})^2=-1,\\\\i^3=i^2.I=(-1)i=-\sqrt{-1},\\\\i^4=(i^2)^2=(-1)^2=1.[/tex]Therefore, the given expression becomes[tex]E_c\\\\=i^0\times i^1\times i^2\times i^3\times i^4\\\\=1\times \sqrt{-1}\times(-1)\times({-\sqrt{-1}})\times 1\\\\=1\times (-1)\\\\=-1.[/tex].Thus, the answer is - 1.