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$- i$
Calculate the value
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ i } } }$
$ $ Calculate the rationalization of the complex number $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ i } } { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } }$
$\dfrac { \color{#FF6800}{ 1 } i } { - 1 }$
$ $ Multiplying any number by 1 does not change the value $ $
$\dfrac { i } { - 1 }$
$\dfrac { i } { \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ i } } { \color{#FF6800}{ 1 } } }$
$- \dfrac { i } { \color{#FF6800}{ 1 } }$
$ $ If the denominator is 1, the denominator can be removed $ $
$- \color{#FF6800}{ i }$
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