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Formula
Calculate the value
$\left( -2 \right) ^{ 2 } \div \{ \dfrac{ 5 }{ 3 } - \left( -1 \right) ^{ 4 } \} -6 \times \dfrac{ 1 }{ 3 }$
$4$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 2 } } \div \left ( \dfrac { 5 } { 3 } - \left ( - 1 \right ) ^ { 4 } \right ) - 6 \times \dfrac { 1 } { 3 }$
 Remove negative signs because negative numbers raised to even powers are positive 
$2 ^ { 2 } \div \left ( \dfrac { 5 } { 3 } - \left ( - 1 \right ) ^ { 4 } \right ) - 6 \times \dfrac { 1 } { 3 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \div \left ( \dfrac { 5 } { 3 } - \left ( - 1 \right ) ^ { 4 } \right ) - 6 \times \dfrac { 1 } { 3 }$
 Calculate power 
$\color{#FF6800}{ 4 } \div \left ( \dfrac { 5 } { 3 } - \left ( - 1 \right ) ^ { 4 } \right ) - 6 \times \dfrac { 1 } { 3 }$
$4 \div \left ( \dfrac { 5 } { 3 } - \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 4 } } \right ) - 6 \times \dfrac { 1 } { 3 }$
 Remove negative signs because negative numbers raised to even powers are positive 
$4 \div \left ( \dfrac { 5 } { 3 } - 1 ^ { 4 } \right ) - 6 \times \dfrac { 1 } { 3 }$
$4 \div \left ( \dfrac { 5 } { 3 } - \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 4 } } \right ) - 6 \times \dfrac { 1 } { 3 }$
 Calculate power 
$4 \div \left ( \dfrac { 5 } { 3 } - \color{#FF6800}{ 1 } \right ) - 6 \times \dfrac { 1 } { 3 }$
$4 \div \left ( \color{#FF6800}{ \dfrac { 5 } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) - 6 \times \dfrac { 1 } { 3 }$
 Subtract $1$ from $\dfrac { 5 } { 3 }$
$4 \div \color{#FF6800}{ \dfrac { 2 } { 3 } } - 6 \times \dfrac { 1 } { 3 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 2 } { 3 } } - 6 \times \dfrac { 1 } { 3 }$
 Calculate division of fractions 
$\color{#FF6800}{ 6 } - 6 \times \dfrac { 1 } { 3 }$
$6 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 3 } }$
 Calculate the product of rational numbers 
$6 \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
 Subtract $2$ from $6$
$\color{#FF6800}{ 4 }$
Solution search results