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$\dfrac { 9 a ^ { 2 } } { 16 }$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \times \dfrac { 3 } { 4 } a a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } \times \dfrac { 3 } { 4 } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 1 } \times \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } a a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 1 } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } a a$
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } a a$
$ $ Add the exponent as the base is the same $ $
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } a a$
$ $ Add $ 1 $ and $ 1$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { \color{#FF6800}{ 2 } } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { 1 } \color{#FF6800}{ a }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { 1 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 1 $ and $ 1$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 16 } } }$
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