Question

What value of the expression ¡^0x¡^1x¡^2x¡^3x¡^4?

Answer 1

Step-by-step explanation:

Seems that given expression is of complex numbers.

If it is so then let us simplify it.

${i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} \\ \\ = {i}^{0 + 1 + 2 + 3 + 4}\\ \\ = {i}^{10} \\ \\ = ( {i}^{2} )^{5} \\ \\ = ( - 1 )^{5} \\ \\ = - 1 \\ \\ \pink{ \boxed{\therefore \: {i}^{0} \times {i}^{1} \times {i}^{2} \times {i}^{3} \times {i}^{4} = - 1}}$