Question

simplify i630

Answer 1

IS it supposed to be \(\Huge\color{blue}{ \sf i^{630} }\)?

Answer 2

yes

Answer 3

\(\LARGE\color{blue}{ \sf i ^ {\color{red} { 4n+1 } } }\)\(\LARGE\color{blue}{ \sf =i ^ {\color{red} { 1 } } }\)\(\LARGE\color{blue}{ \sf = ~i }\)

\(\LARGE\color{blue}{ \sf i ^ {\color{red} { 4n+2 } } }\)\(\LARGE\color{blue}{ \sf = i ^ {\color{red} { 2 } } }\)\(\LARGE\color{blue}{ \sf =~-1 { } }\)

\(\LARGE\color{blue}{ \sf i ^ {\color{red} { 4n+3 } } }\)\(\LARGE\color{blue}{ \sf = i ^ {\color{red} { 3 } } }\)\(\LARGE\color{blue}{ \sf =-i {} }\)

\(\LARGE\color{blue}{ \sf i ^ {\color{red} { 4n+4 } } }\)\(\LARGE\color{blue}{ \sf =i ^ {\color{red} { 4 } } }\)\(\LARGE\color{blue}{ \sf = 1 ^ {\color{red} { } } }\)

Answer 4

Which one would \(\LARGE\color{blue}{ \sf i ^ {\color{red} { ~~ 630 } } }\) fit ?

lets see...

\(\LARGE\color{blue}{ \sf i ^ {\color{red} { ~~ 630 } } }\)\(\LARGE\color{blue}{ \sf =i ^ {\color{red} { ~~( 628+2 ) } } }\)\(\LARGE\color{blue}{ \sf =i ^ {\color{red} { ~~ 628 } } }\)\(\LARGE\color{blue}{ \sf \times i ^ {\color{red} { 2 } } }\)\(\LARGE\color{blue}{ \sf =i ^ {\color{red} { ~~ (4 \times 157) } } }\)\(\LARGE\color{blue}{ \sf \times i ^ {\color{red} { ~~2 } } }\)

\(\LARGE\color{blue}{ \sf = 1 \times i ^ {\color{red} { ~~ 2 } } }\)\(\LARGE\color{blue}{ \sf = i ^ {\color{red} { ~~ 2 } } }\)\(\LARGE\color{blue}{ \sf= ~ -1 }\)

Answer 5

See 4this fits the second (of the 4) formulas I wrote on the before.