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$x y$
Arrange the rational expression
$4 \color{#FF6800}{ x } x ^ { 2 } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$4 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } x ^ { 2 } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$4 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$ $ Add the exponent as the base is the same $ $
$4 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$4 x ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$ $ Add $ 1 $ and $ 2$
$4 x ^ { \color{#FF6800}{ 3 } } y ^ { 2 } \times 5 y ^ { 3 } \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$4 x ^ { 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \times 5 \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$ $ Add the exponent as the base is the same $ $
$4 x ^ { 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$4 x ^ { 3 } y ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 5 \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$ $ Add $ 2 $ and $ 3$
$4 x ^ { 3 } y ^ { \color{#FF6800}{ 5 } } \times 5 \div \left ( 20 x ^ { 2 } y ^ { 4 } \right )$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 20 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ x } \color{#FF6800}{ y }$
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