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Formula
Calculate the imaginary number $i^k$
Answer
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$i ^{ 1000 }$
$1$
Calculate the value
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 1000 } }$
$i ^ { 1000 } $ is calculated with exponent divided $ $
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 250 } }$
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 250 } }$
$ $ Calculate using $ i^4=1$
$\left ( \color{#FF6800}{ i } ^ { \color{#FF6800}{ 4 } } \right ) ^ { \color{#FF6800}{ 250 } }$
$\left ( \color{#FF6800}{ i } ^ { \color{#FF6800}{ 4 } } \right ) ^ { 250 }$
$ $ It is $ i^4=1$
$\color{#FF6800}{ 1 } ^ { 250 }$
$\color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 250 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 1 }$
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