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Calculate the value
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Organize using the law of exponent
Answer
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$\dfrac { 1 } { x ^ { 2 } }$
Arrange the rational expression
$x ^ { 4 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$ $ Subtract $ 6 $ from $ 4$
$x ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Arrange the powers.. $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } } }$
$ $ Arrange the fraction expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } } }$
$x ^ { - 2 }$
Organize using the law of exponent
$x ^ { 4 } \div \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$x ^ { 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$x ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } }$
$ $ Subtract $ 6 $ from $ 4$
$x ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
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