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Formula
Calculate the value
$\dfrac{ 1 }{ 2 } a ^{ 2 } \times \dfrac{ 4 }{ 5 } a ^{ 3 } b$
$\dfrac { 2 a ^ { 5 } b } { 5 }$
Arrange the rational expression
$\dfrac { 1 } { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \times \dfrac { 4 } { 5 } b$
 Add the exponent as the base is the same 
$\dfrac { 1 } { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times \dfrac { 4 } { 5 } b$
$\dfrac { 1 } { 2 } a ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } \times \dfrac { 4 } { 5 } b$
 Add $2$ and $3$
$\dfrac { 1 } { 2 } a ^ { \color{#FF6800}{ 5 } } \times \dfrac { 4 } { 5 } b$
$\color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 4 } { 5 } } \color{#FF6800}{ b }$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 2 a ^ { 5 } b } { 5 } }$
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