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Formula
Expand the expression
Organize using the law of exponent
$x ^{ 2 } y \times 3xy ^{ 3 }$
$3 x ^ { 3 } y ^ { 4 }$
Organize polynomials
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } }$
 Arrange the variable part of the mononomial expression 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } }$
$x ^ { 3 } y ^ { 4 } \times 3$
Organize using the law of exponent
$x ^ { 2 } \color{#FF6800}{ x } y \times 3 y ^ { 3 }$
 If the exponent is omitted, the exponent of that term is equal to 1 
$x ^ { 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } y \times 3 y ^ { 3 }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } y \times 3 y ^ { 3 }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } y \times 3 y ^ { 3 }$
$x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } y \times 3 y ^ { 3 }$
 Add $2$ and $1$
$x ^ { \color{#FF6800}{ 3 } } y \times 3 y ^ { 3 }$
$x ^ { 3 } \color{#FF6800}{ y } y ^ { 3 } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$x ^ { 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 1 } } y ^ { 3 } \times 3$
$x ^ { 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \times 3$
 Add the exponent as the base is the same 
$x ^ { 3 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 3$
$x ^ { 3 } y ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times 3$
 Add $1$ and $3$
$x ^ { 3 } y ^ { \color{#FF6800}{ 4 } } \times 3$
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