# Calculator search results

Formula
Calculate the value
$\left( \dfrac{ 1 }{ 4 } \right) ^{ 3 } \times \left( \dfrac{ 1 }{ 8 } \right) ^{ -3 }$
$8$
Calculate the value
$\left ( \color{#FF6800}{ \dfrac { 1 } { 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } } { 4 ^ { 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
 Calculate power 
$\dfrac { \color{#FF6800}{ 1 } } { 4 ^ { 3 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { 1 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 3 } } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
 Calculate power 
$\dfrac { 1 } { \color{#FF6800}{ 64 } } \left ( \dfrac { 1 } { 8 } \right ) ^ { - 3 }$
$\dfrac { 1 } { 64 } \left ( \color{#FF6800}{ \dfrac { 1 } { 8 } } \right ) ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { 1 } { 64 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
$\dfrac { 1 } { 64 } \times \dfrac { 1 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } } { 8 ^ { - 3 } }$
 If the exponent is negative, change it to a fraction 
$\dfrac { 1 } { 64 } \times \dfrac { \dfrac { 1 } { 1 ^ { 3 } } } { 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 } \times \color{#FF6800}{ \dfrac { \dfrac { 1 } { 1 ^ { 3 } } } { 8 ^ { - 3 } } }$
 Calculate the complex fraction 
$\dfrac { 1 } { 64 } \times \color{#FF6800}{ \dfrac { 1 } { 1 ^ { 3 } \times 8 ^ { - 3 } } }$
$\color{#FF6800}{ \dfrac { 1 } { 64 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 1 ^ { 3 } \times 8 ^ { - 3 } } }$
 Arrange the terms multiplied by fractions 
$\color{#FF6800}{ \dfrac { 1 } { 64 \left ( 1 ^ { 3 } \times 8 ^ { - 3 } \right ) } }$
$\dfrac { 1 } { \color{#FF6800}{ 64 } \left ( \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \right ) }$
 Get rid of unnecessary parentheses 
$\dfrac { 1 } { \color{#FF6800}{ 64 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
$\dfrac { 1 } { 64 \times \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 3 } } \times 8 ^ { - 3 } }$
 Calculate power 
$\dfrac { 1 } { 64 \times \color{#FF6800}{ 1 } \times 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 \color{#FF6800}{ \times } \color{#FF6800}{ 1 } \times 8 ^ { - 3 } }$
 Multiplying any number by 1 does not change the value 
$\dfrac { 1 } { 64 \times 8 ^ { - 3 } }$
$\dfrac { 1 } { 64 \times 8 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } }$
 If the exponent is negative, change it to a fraction 
$\dfrac { 1 } { 64 \times \dfrac { 1 } { 8 ^ { 3 } } }$
$\dfrac { 1 } { 64 \times \dfrac { 1 } { \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ 3 } } } }$
 Calculate power 
$\dfrac { 1 } { 64 \times \dfrac { 1 } { \color{#FF6800}{ 512 } } }$
$\dfrac { 1 } { \color{#FF6800}{ 64 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 512 } } }$
 Calculate the product of rational numbers 
$\dfrac { 1 } { \color{#FF6800}{ \dfrac { 1 } { 8 } } }$
$\color{#FF6800}{ \dfrac { 1 } { \dfrac { 1 } { 8 } } }$
 Calculate the complex fraction 
$\color{#FF6800}{ 8 }$
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