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Formula
Calculate the value
Answer
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$\left( - \dfrac{ 1 }{ 3 } \right) ^{ 4 }$
$\dfrac { 1 } { 81 }$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } } \right ) ^ { \color{#FF6800}{ 4 } }$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$\left ( \dfrac { 1 } { 3 } \right ) ^ { 4 }$
$\left ( \color{#FF6800}{ \dfrac { 1 } { 3 } } \right ) ^ { \color{#FF6800}{ 4 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 4 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } }$
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 4 } } } { 3 ^ { 4 } }$
$ $ Calculate power $ $
$\dfrac { \color{#FF6800}{ 1 } } { 3 ^ { 4 } }$
$\dfrac { 1 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } }$
$ $ Calculate power $ $
$\dfrac { 1 } { \color{#FF6800}{ 81 } }$
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