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Formula
Calculate the value
Answer
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$i ^{ 3 }$
$- i$
It is $i^{3} = -i$
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 3 } }$
$i ^ { 3 } $ is calculated with exponent divided $ $
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Calculate $ i ^ { 2 + 1 }$
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ i } ^ { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ i } ^ { \color{#FF6800}{ 2 } } i ^ { 1 }$
$ $ It is $ i^2 = -1$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } i ^ { 1 }$
$- 1 i ^ { \color{#FF6800}{ 1 } }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$- 1 i$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } i$
$ $ Multiplying any number by 1 does not change the value $ $
$- i$
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