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$\dfrac { 2 y } { x ^ { 3 } }$
Arrange the rational expression
$y \times 2 \div \left ( \color{#FF6800}{ x } x x \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$y \times 2 \div \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } x x \right )$
$y \times 2 \div \left ( x ^ { 1 } \color{#FF6800}{ x } x \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$y \times 2 \div \left ( x ^ { 1 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } x \right )$
$y \times 2 \div \left ( x ^ { 1 } x ^ { 1 } \color{#FF6800}{ x } \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$y \times 2 \div \left ( x ^ { 1 } x ^ { 1 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \right )$
$y \times 2 \div \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \right )$
$ $ Add the exponent as the base is the same $ $
$y \times 2 \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$y \times 2 \div x ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Find the sum $ $
$y \times 2 \div x ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ y } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ \div } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ y } } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } } }$
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