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Formula
Calculate the value
$\left( + \dfrac{ 2 }{ 5 } \right) \times \left( - \dfrac{ 1 }{ 2 } \right) ^{ 2 }$
$\dfrac { 1 } { 10 }$
Calculate the value
$\dfrac { 2 } { 5 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$
 Remove negative signs because negative numbers raised to even powers are positive 
$\dfrac { 2 } { 5 } \left ( \dfrac { 1 } { 2 } \right ) ^ { 2 }$
$\dfrac { 2 } { 5 } \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 2 } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { 2 } { 5 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } }$
$\dfrac { 2 } { 5 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } } { 2 ^ { 2 } }$
 Calculate power 
$\dfrac { 2 } { 5 } \times \dfrac { \color{#FF6800}{ 1 } } { 2 ^ { 2 } }$
$\dfrac { 2 } { 5 } \times \dfrac { 1 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } }$
 Calculate power 
$\dfrac { 2 } { 5 } \times \dfrac { 1 } { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ \dfrac { 2 } { 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
 Calculate the product of rational numbers 
$\color{#FF6800}{ \dfrac { 1 } { 10 } }$
Solution search results