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Calculate the value
Answer
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$\dfrac { 3 \sqrt{ 2 } } { 4 }$
Calculate the value
$3 \times 2 ^ { \color{#FF6800}{ - } \color{#FF6800}{ \frac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } }$
$ $ If the exponent is negative, change it to a fraction $ $
$3 \times \dfrac { 1 } { 2 ^ { \frac { 3 } { 2 } } }$
$3 \times \dfrac { 1 } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } } }$
$ $ Calculate power $ $
$3 \times \dfrac { 1 } { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } } }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 4 } } }$
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