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Formula
Calculate the value
Answer
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Organize using the law of exponent
Answer
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$b ^{ 4 } \div b ^{ 12 }$
$\dfrac { 1 } { b ^ { 8 } }$
Arrange the rational expression
$b ^ { 4 } \div \color{#FF6800}{ b } ^ { \color{#FF6800}{ 12 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$b ^ { 4 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$\color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$b ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$ $ Subtract $ 12 $ from $ 4$
$b ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$
$\color{#FF6800}{ b } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$
$ $ Arrange the powers.. $ $
$\color{#FF6800}{ \dfrac { 1 ^ { 8 } } { b ^ { 8 } } }$
$\color{#FF6800}{ \dfrac { 1 ^ { 8 } } { b ^ { 8 } } }$
$ $ Arrange the fraction expression $ $
$\color{#FF6800}{ \dfrac { 1 } { b ^ { 8 } } }$
$b ^ { - 8 }$
Organize using the law of exponent
$b ^ { 4 } \div \color{#FF6800}{ b } ^ { \color{#FF6800}{ 12 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$b ^ { 4 } \color{#FF6800}{ b } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$\color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$b ^ { \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } }$
$ $ Subtract $ 12 $ from $ 4$
$b ^ { \color{#FF6800}{ - } \color{#FF6800}{ 8 } }$
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