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Calculate the value
Answer
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$\dfrac { 6 a ^ { 2 } } { b }$
Arrange the rational expression
$12 a ^ { 3 } \color{#FF6800}{ a } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$12 a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$12 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$ $ Add the exponent as the base is the same $ $
$12 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$12 a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$ $ Add $ 3 $ and $ 1$
$12 a ^ { \color{#FF6800}{ 4 } } b ^ { 2 } \div \left ( 4 a ^ { 2 } b ^ { 3 } \right ) \times 2$
$\color{#FF6800}{ 12 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 3 } } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ b } } }$
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