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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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$a ^{ 12 } \div a ^{ 4 }$
$a ^ { 8 }$
Arrange the rational expression
$a ^ { 12 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 12 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$a ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 12$
$a ^ { \color{#FF6800}{ 8 } }$
$a ^ { 8 }$
Organize using the law of exponent
$a ^ { 12 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 12 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$a ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 12$
$a ^ { \color{#FF6800}{ 8 } }$
$a ^ { 8 }$
Use the synthetic division to find the quotient and the remainder
$a ^ { 12 } \div \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$a ^ { 12 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$a ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } }$
$ $ Subtract $ 4 $ from $ 12$
$a ^ { \color{#FF6800}{ 8 } }$
Solution search results
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$2$ Show that : $a^{12}x^{4}$ $a^{4}x^{12}=a^{4}x^{4}\left(a^{4}+x^{4}\right)\left(a^{2}+x^{2}\right)\left(a+x\right)\left(a-x\right)$ 
$∩$ $2$
7th-9th grade
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