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Formula
Calculate the value
Organize using the law of exponent
$5a ^{ 3 } \div a ^{ 4 } \times 2a ^{ 2 }$
$10 a$
Arrange the rational expression
$5 a ^ { 3 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \times a ^ { 2 } \times 2$
 Convert the division to multiplication and the exponent to the opposite symbol 
$5 a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } a ^ { 2 } \times 2$
$5 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \times 2$
 Add the exponent as the base is the same 
$5 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 2$
$5 a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 2$
 Calculate the sum or the difference 
$5 a ^ { \color{#FF6800}{ 1 } } \times 2$
$5 a ^ { \color{#FF6800}{ 1 } } \times 2$
 If the exponent is 1, get rid of it as it is unnecessary 
$5 a \times 2$
$\color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ \times } \color{#FF6800}{ 2 }$
 Expand the expression 
$\color{#FF6800}{ 10 } \color{#FF6800}{ a }$
$5 a \times 2$
Organize using the law of exponent
$5 a ^ { 3 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \times a ^ { 2 } \times 2$
 Convert the division to multiplication and the exponent to the opposite symbol 
$5 a ^ { 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } a ^ { 2 } \times 2$
$5 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \times 2$
 Add the exponent as the base is the same 
$5 \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 2$
$5 a ^ { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \times 2$
 Calculate the sum or the difference 
$5 a ^ { \color{#FF6800}{ 1 } } \times 2$
$5 a ^ { \color{#FF6800}{ 1 } } \times 2$
 If the exponent is 1, get rid of it as it is unnecessary 
$5 a \times 2$
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