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Calculate the value
Answer
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$\dfrac { 5 } { 16 }$
Calculate the value
$\dfrac { 1 } { 4 } \div \left ( \color{#FF6800}{ - } \dfrac { 1 } { 10 } \right ) \div \left ( - 2 \right ) ^ { 3 }$
$ $ Move the (-) sign forward $ $
$\color{#FF6800}{ - } \dfrac { 1 } { 4 } \div \dfrac { 1 } { 10 } \div \left ( - 2 \right ) ^ { 3 }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 10 } } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 10 } } { \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } } } }$
$- \color{#FF6800}{ \dfrac { \color{#FF6800}{ 10 } } { \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } } } }$
$ $ Calculate the fraction $ $
$- \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 10 } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } } } \right )$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \dfrac { 10 } { 2 ^ { 5 } } \right )$
$ $ Simplify Minus $ $
$\dfrac { 10 } { 2 ^ { 5 } }$
$\dfrac { 10 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } }$
$ $ Calculate power $ $
$\dfrac { 10 } { \color{#FF6800}{ 32 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 10 } } { \color{#FF6800}{ 32 } } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 16 } } }$
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