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Formula
Calculate the value
Organize using the law of exponent
$x ^{ 4 } \div x ^{ 6 }$
$\dfrac { 1 } { x ^ { 2 } }$
Arrange the rational expression
$x ^ { 4 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$x ^ { 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
 Subtract $6$ from $4$
$x ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Arrange the powers.. 
$\color{#FF6800}{ \dfrac { 1 ^ { 2 } } { x ^ { 2 } } }$
$\color{#FF6800}{ \dfrac { 1 ^ { 2 } } { x ^ { 2 } } }$
 Arrange the fraction expression 
$\color{#FF6800}{ \dfrac { 1 } { x ^ { 2 } } }$
$x ^ { - 2 }$
Organize using the law of exponent
$x ^ { 4 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$x ^ { 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
 Subtract $6$ from $4$
$x ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
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