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Formula
Calculate the value
$- \left( - \dfrac{ 1 }{ 4 } \right) ^{ 3 } \times \left( - \dfrac{ 25 }{ 3 } \right) ^{ 2 } \times \{ - \left( - \dfrac{ 3 }{ 5 } \right) ^{ 4 } \}$
$- \dfrac { 9 } { 64 }$
Calculate the value
$\color{#FF6800}{ - } \left ( - \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \times \left ( \color{#FF6800}{ - } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 } \right )$
 Since negative numbers are multiplied by an even number, remove the (-) sign 
$\left ( - \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Move the (-) sign forward as it does not disappear if the (-) sign is powered to an odd number of times 
$\color{#FF6800}{ - } \left ( \dfrac { 1 } { 4 } \right ) ^ { 3 } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \left ( \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$- \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 4 ^ { 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Calculate power 
$- \dfrac { \color{#FF6800}{ 1 } } { 4 ^ { 3 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Calculate power 
$- \dfrac { 1 } { \color{#FF6800}{ 64 } } \left ( - \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 25 } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Remove negative signs because negative numbers raised to even powers are positive 
$- \dfrac { 1 } { 64 } \left ( \dfrac { 25 } { 3 } \right ) ^ { 2 } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \left ( \color{#FF6800}{ \dfrac { 25 } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 25 } ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Calculate power 
$- \dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 625 } } { 3 ^ { 2 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
 Calculate power 
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { \color{#FF6800}{ 9 } } \left ( - \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 5 } } \right ) ^ { \color{#FF6800}{ 4 } }$
 Remove negative signs because negative numbers raised to even powers are positive 
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \dfrac { 3 } { 5 } \right ) ^ { 4 }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \left ( \color{#FF6800}{ \dfrac { 3 } { 5 } } \right ) ^ { \color{#FF6800}{ 4 } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 4 } } } { 5 ^ { 4 } }$
 Calculate power 
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { \color{#FF6800}{ 81 } } { 5 ^ { 4 } }$
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { 81 } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 4 } } }$
 Calculate power 
$- \dfrac { 1 } { 64 } \times \dfrac { 625 } { 9 } \times \dfrac { 81 } { \color{#FF6800}{ 625 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 64 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 625 } { 9 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 81 } { 625 } }$
 Calculate the product of rational numbers 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 64 } }$
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