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Calculate the value
Organize using the law of exponent
$\left( a ^{ \sqrt{ 3 } } \right) ^{ 2 \sqrt{ 3 } } \div a ^{ 3 } \times \left( \sqrt[ 3 ]{ a } \right) ^{ 6 }$
$a ^ { 5 }$
Simplify the expression
$\left ( \color{#FF6800}{ a } ^ { \sqrt{ \color{#FF6800}{ 3 } } } \right ) ^ { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } \div a ^ { 3 } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Calculate the power of the power 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \div a ^ { 3 } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$a ^ { 6 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$a ^ { 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$a ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Subtract $3$ from $6$
$a ^ { \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$a ^ { 3 } \left ( \sqrt[ \color{#FF6800}{ 3 } ]{ \color{#FF6800}{ a } } \right ) ^ { \color{#FF6800}{ 6 } }$
 Calculate power 
$a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } }$
 Add $3$ and $2$
$a ^ { \color{#FF6800}{ 5 } }$
$a ^ { 3 } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
Organize using the law of exponent
$\left ( \color{#FF6800}{ a } ^ { \sqrt{ \color{#FF6800}{ 3 } } } \right ) ^ { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } \div a ^ { 3 } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Calculate the power of the power 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \div a ^ { 3 } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$a ^ { 6 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \times \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Convert the division to multiplication and the exponent to the opposite symbol 
$a ^ { 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Add the exponent as the base is the same 
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
$a ^ { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
 Subtract $3$ from $6$
$a ^ { \color{#FF6800}{ 3 } } \left ( \sqrt[ 3 ]{ a } \right ) ^ { 6 }$
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