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Formula
Calculate the value
$8a ^{ 2 } b \div 4ab \times ab ^{ 2 }$
$2 a ^ { 2 } b ^ { 2 }$
Arrange the rational expression
$8 a ^ { 2 } \color{#FF6800}{ a } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
 If the exponent is omitted, the exponent of that term is equal to 1 
$8 a ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
$8 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
 Add the exponent as the base is the same 
$8 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
$8 a ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
 Add $2$ and $1$
$8 a ^ { \color{#FF6800}{ 3 } } b \div \left ( 4 a b \right ) \times b ^ { 2 }$
$8 a ^ { 3 } \color{#FF6800}{ b } b ^ { 2 } \div \left ( 4 a b \right )$
 If the exponent is omitted, the exponent of that term is equal to 1 
$8 a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } } b ^ { 2 } \div \left ( 4 a b \right )$
$8 a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \div \left ( 4 a b \right )$
 Add the exponent as the base is the same 
$8 a ^ { 3 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \div \left ( 4 a b \right )$
$8 a ^ { 3 } b ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \div \left ( 4 a b \right )$
 Add $1$ and $2$
$8 a ^ { 3 } b ^ { \color{#FF6800}{ 3 } } \div \left ( 4 a b \right )$
$\color{#FF6800}{ 8 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ b } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } }$
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