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Formula
Calculate the value
Organize using the law of exponent
$3x ^{ 2 } \div x ^{ 2 }$
$3$
Arrange the rational expression
$3 x ^ { 2 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$3 x ^ { 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$3 x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Remove the two numbers if the values are the same and the signs are different 
$3 x ^ { 0 }$
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 0 } }$
 Equals 1 if the exponent is 0 
$3 \times \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 }$
 Calculate the value 
$\color{#FF6800}{ 3 }$
$3 \times 1$
Organize using the law of exponent
$3 x ^ { 2 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$3 x ^ { 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$3 x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Remove the two numbers if the values are the same and the signs are different 
$3 x ^ { 0 }$
$3 \color{#FF6800}{ x } ^ { \color{#FF6800}{ 0 } }$
 Equals 1 if the exponent is 0 
$3 \times \color{#FF6800}{ 1 }$
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