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Formula
Calculate the value
Organize using the law of exponent
$2x ^{ 2 } \times 3x \div x$
$6 x ^ { 2 }$
Arrange the rational expression
$2 x ^ { 2 } \color{#FF6800}{ x } \div x \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$2 x ^ { 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \div x \times 3$
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 3$
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 3$
 Convert the division to multiplication and the exponent to the opposite symbol 
$2 x ^ { 2 } x ^ { 1 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
$2 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
 Add the exponent as the base is the same 
$2 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
$2 x ^ { 2 \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
 Remove the two numbers if the values are the same and the signs are different 
$2 x ^ { 2 } \times 3$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
 Expand the expression 
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$2 x ^ { 2 } \times 3$
Organize using the law of exponent
$2 x ^ { 2 } \color{#FF6800}{ x } \div x \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$2 x ^ { 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \div x \times 3$
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } \times 3$
 If the exponent is omitted, the exponent of that term is equal to 1 
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 3$
$2 x ^ { 2 } x ^ { 1 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \times 3$
 Convert the division to multiplication and the exponent to the opposite symbol 
$2 x ^ { 2 } x ^ { 1 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
$2 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
 Add the exponent as the base is the same 
$2 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
$2 x ^ { 2 \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } \times 3$
 Remove the two numbers if the values are the same and the signs are different 
$2 x ^ { 2 } \times 3$
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