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Formula
Calculate the value
Answer
See the solving process
Organize using the law of exponent
Answer
See the solving process
Use the synthetic division to find the quotient and the remainder
Answer
See the solving process
$a ^{ 5 } \div a ^{ 2 }$
$a ^ { 3 }$
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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