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Answer
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$\left( 2 ^{ 4 } \right) ^{ 3 } \div 2 ^{ 10 }$
$4$
Calculate the value
$\left ( \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \right ) ^ { \color{#FF6800}{ 3 } } \div 2 ^ { 10 }$
$ $ Calculate the power of the power $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } } \div 2 ^ { 10 }$
$2 ^ { 12 } \div \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 10 } }$
$ $ Convert the division to multiplication and the exponent to the opposite symbol $ $
$2 ^ { 12 } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 10 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 10 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } }$
$2 ^ { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } }$
$ $ Subtract $ 10 $ from $ 12$
$2 ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 4 }$
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