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$16$
Calculate the value
$4 ^ { 28 } \times \color{#FF6800}{ 0.25 } ^ { 26 }$
$ $ Convert decimals to fractions $ $
$4 ^ { 28 } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \right ) ^ { 26 }$
$4 ^ { 28 } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 26 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$4 ^ { 28 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 26 } } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 26 } } }$
$4 ^ { 28 } \times \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 26 } } } { 4 ^ { 26 } }$
$ $ Calculate power $ $
$4 ^ { 28 } \times \dfrac { \color{#FF6800}{ 1 } } { 4 ^ { 26 } }$
$\color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 28 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 26 } } } }$
$ $ Calculate the multiplication $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 28 } } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 26 } } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 28 } } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } ^ { \color{#FF6800}{ 26 } } } }$
$ $ Calculate the fraction $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 16 }$
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