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Formula
Calculate the value
Answer
Organize using the law of exponent
Answer
Use the synthetic division to find the quotient and the remainder
Answer
$a ^{ 5 } \div a ^{ 2 }$
$a ^ { 3 }$
Arrange the rational expression
$a ^ { 5 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 5 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$a ^ { \color{#FF6800}{ 3 } }$
$a ^ { 3 }$
Organize using the law of exponent
$a ^ { 5 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 5 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$a ^ { \color{#FF6800}{ 3 } }$
$a ^ { 3 }$
Use the synthetic division to find the quotient and the remainder
$a ^ { 5 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 5 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$a ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$a ^ { \color{#FF6800}{ 3 } }$
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