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Formula
Calculate the value
Answer
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Organize using the law of exponent
Answer
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Use the synthetic division to find the quotient and the remainder
Answer
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$x ^{ 8 } \div x ^{ 4 }$
$x ^ { 4 }$
Arrange the rational expression
$x ^ { 8 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 8 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$x ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 8$
$x ^ { \color{#FF6800}{ 4 } }$
$x ^ { 4 }$
Organize using the law of exponent
$x ^ { 8 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 8 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$x ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 8$
$x ^ { \color{#FF6800}{ 4 } }$
$x ^ { 4 }$
Use the synthetic division to find the quotient and the remainder
$x ^ { 8 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 8 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$x ^ { \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 8$
$x ^ { \color{#FF6800}{ 4 } }$
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