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Formula
Calculate the value
$a ^{ 2 } b \times \dfrac{ 1 }{ 5 } ab ^{ 2 } \div 10a ^{ 2 } b ^{ 3 }$
$\dfrac { a } { 50 }$
Arrange the rational expression
$a ^ { 2 } \color{#FF6800}{ a } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 If the exponent is omitted, the exponent of that term is equal to 1 
$a ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$a ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 Add $2$ and $1$
$a ^ { \color{#FF6800}{ 3 } } b \times \dfrac { 1 } { 5 } b ^ { 2 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$a ^ { 3 } \color{#FF6800}{ b } b ^ { 2 } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 If the exponent is omitted, the exponent of that term is equal to 1 
$a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } } b ^ { 2 } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 Add the exponent as the base is the same 
$a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$a ^ { 3 } b ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
 Add $1$ and $2$
$a ^ { 3 } b ^ { \color{#FF6800}{ 3 } } \times \dfrac { 1 } { 5 } \div \left ( 10 a ^ { 2 } b ^ { 3 } \right )$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 5 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 10 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 3 } } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { a } { 50 } }$
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