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Calculate the value
Answer
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$\left( \dfrac{ 3 }{ 4 } \right) ^{ 5 } \times \left( \dfrac{ 4 }{ 3 } \right) ^{ 7 }$
$\dfrac { 16 } { 9 }$
Calculate the value
$\left ( \color{#FF6800}{ \dfrac { 3 } { 4 } } \right ) ^ { \color{#FF6800}{ 5 } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 5 } } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$\dfrac { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 5 } } } { 4 ^ { 5 } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$ $ Calculate power $ $
$\dfrac { \color{#FF6800}{ 243 } } { 4 ^ { 5 } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$\dfrac { 243 } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 5 } } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$ $ Calculate power $ $
$\dfrac { 243 } { \color{#FF6800}{ 1024 } } \left ( \dfrac { 4 } { 3 } \right ) ^ { 7 }$
$\dfrac { 243 } { 1024 } \left ( \color{#FF6800}{ \dfrac { 4 } { 3 } } \right ) ^ { \color{#FF6800}{ 7 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { 243 } { 1024 } \times \dfrac { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 7 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 7 } } }$
$\dfrac { 243 } { 1024 } \times \dfrac { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 7 } } } { 3 ^ { 7 } }$
$ $ Calculate power $ $
$\dfrac { 243 } { 1024 } \times \dfrac { \color{#FF6800}{ 16384 } } { 3 ^ { 7 } }$
$\dfrac { 243 } { 1024 } \times \dfrac { 16384 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 7 } } }$
$ $ Calculate power $ $
$\dfrac { 243 } { 1024 } \times \dfrac { 16384 } { \color{#FF6800}{ 2187 } }$
$\color{#FF6800}{ \dfrac { 243 } { 1024 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 16384 } { 2187 } }$
$ $ Calculate the product of rational numbers $ $
$\color{#FF6800}{ \dfrac { 16 } { 9 } }$
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