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Formula
Calculate the value
Organize using the law of exponent
$a ^{ 3 } \div a ^{ 7 } \times a ^{ 2 }$
$\dfrac { 1 } { a ^ { 2 } }$
Arrange the rational expression
$a ^ { 3 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 7 } } \times a ^ { 2 }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } a ^ { 2 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
 Calculate the sum or the difference 
$a ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
 Arrange the powers.. 
$\color{#FF6800}{ \dfrac { 1 ^ { 2 } } { a ^ { 2 } } }$
$\color{#FF6800}{ \dfrac { 1 ^ { 2 } } { a ^ { 2 } } }$
 Arrange the fraction expression 
$\color{#FF6800}{ \dfrac { 1 } { a ^ { 2 } } }$
$a ^ { - 2 }$
Organize using the law of exponent
$a ^ { 3 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 7 } } \times a ^ { 2 }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } a ^ { 2 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
 Calculate the sum or the difference 
$a ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
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