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Formula
Calculate the value
$\left( - \dfrac{ 1 }{ 4 } \right) \div \left( - \dfrac{ 1 }{ 2 } \right) ^{ 3 } - \left( -6 \right) \times \{ \dfrac{ 4 }{ 3 } + \left( -2 \right) \}$
$- 2$
Calculate the value
$- \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times 
$- \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } \right ) - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\color{#FF6800}{ - } \dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } \right ) - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Since negative numbers are multiplied by an even number, remove the (-) sign 
$\dfrac { 1 } { 4 } \div \left ( \dfrac { 1 } { 2 } \right ) ^ { 3 } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 2 ^ { 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Calculate power 
$\dfrac { 1 } { 4 } \div \dfrac { \color{#FF6800}{ 1 } } { 2 ^ { 3 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\dfrac { 1 } { 4 } \div \dfrac { 1 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Calculate power 
$\dfrac { 1 } { 4 } \div \dfrac { 1 } { \color{#FF6800}{ 8 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$\color{#FF6800}{ \dfrac { 1 } { 4 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 1 } { 8 } } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Calculate division of fractions 
$\color{#FF6800}{ 2 } - \left ( - 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
$2 \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } 6 \right ) \left ( \dfrac { 4 } { 3 } - 2 \right )$
 Simplify Minus 
$2 + 6 \left ( \dfrac { 4 } { 3 } - 2 \right )$
$2 + 6 \left ( \color{#FF6800}{ \dfrac { 4 } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
 Subtract $2$ from $\dfrac { 4 } { 3 }$
$2 + 6 \times \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \right )$
$2 + \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \right )$
 Calculate the product of rational numbers 
$2 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
 Subtract $4$ from $2$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 }$
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