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Formula
Calculate the value
Answer
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Do prime factorization
Answer
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Organize using the law of exponent
Answer
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$2 ^{ 5 } \times 2 ^{ -2 }$
$8$
Calculate the value
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$2 ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$2 ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 3 } }$
$ $ Calculate power $ $
$\color{#FF6800}{ 8 }$
$2 ^ { 3 }$
Organize using the law of exponent
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$2 ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$2 ^ { \color{#FF6800}{ 3 } }$
$2 ^ { 3 }$
Organize using the law of exponent
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } } \times \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Add the exponent as the base is the same $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$2 ^ { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } }$
$ $ Subtract $ 2 $ from $ 5$
$2 ^ { \color{#FF6800}{ 3 } }$
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