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