Question

the value of i when (i)^9=(i)^10​

Answer 1

Step-by-step explanation:

$(i)^{9} = {(i)}^{10} \\ \implies (i)^{8} .i = {(i ^{2} )}^{5} \\ \implies (i^{2} )^{4} .i = {(i ^{2} )}^{5} \\ \implies ( - 1)^{4} .i = {( - 1 )}^{5} \\ \implies 1 .i = - 1 \\ \implies i = - 1$