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$72$
Calculate the value
$\left ( \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \sqrt{ \color{#FF6800}{ 3 } } } } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \sqrt{ \color{#FF6800}{ \frac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } } } } } \right ) ^ { \sqrt{ \color{#FF6800}{ 3 } } }$
$ $ Solve the power $ $
$\left ( \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \sqrt{ \color{#FF6800}{ 3 } } } } } \right ) ^ { \sqrt{ \color{#FF6800}{ 3 } } } \left ( \color{#FF6800}{ 3 } ^ { \sqrt{ \color{#FF6800}{ \frac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } } } } } \right ) ^ { \sqrt{ \color{#FF6800}{ 3 } } }$
$\left ( \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \sqrt{ \color{#FF6800}{ 3 } } } } } \right ) ^ { \sqrt{ \color{#FF6800}{ 3 } } } \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$ $ Calculate the power of the power $ $
$\color{#FF6800}{ 8 } ^ { \color{#FF6800}{ \frac { \sqrt{ \color{#FF6800}{ 3 } } } { \sqrt{ \color{#FF6800}{ 3 } } } } } \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$8 ^ { \color{#FF6800}{ \frac { \sqrt{ \color{#FF6800}{ 3 } } } { \sqrt{ \color{#FF6800}{ 3 } } } } } \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$ $ Calculate the expression $ $
$8 ^ { \color{#FF6800}{ 1 } } \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$8 ^ { \color{#FF6800}{ 1 } } \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$8 \left ( 3 ^ { \sqrt{ \frac { 4 } { 3 } } } \right ) ^ { \sqrt{ 3 } }$
$8 \left ( \color{#FF6800}{ 3 } ^ { \sqrt{ \color{#FF6800}{ \frac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } } } } } \right ) ^ { \sqrt{ \color{#FF6800}{ 3 } } }$
$ $ Calculate the power of the power $ $
$8 \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
$ $ Multiply $ 8 $ and $ 9$
$\color{#FF6800}{ 72 }$
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