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Calculate the value
Answer
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$144$
Calculate the value
$\color{#FF6800}{ 13 } ^ { \color{#FF6800}{ 2 } } - 5 ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 169 } - 5 ^ { 2 }$
$169 - \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate power $ $
$169 - \color{#FF6800}{ 25 }$
$\color{#FF6800}{ 169 } \color{#FF6800}{ - } \color{#FF6800}{ 25 }$
$ $ Subtract $ 25 $ from $ 169$
$\color{#FF6800}{ 144 }$
$144$
Calculation using the sum and difference formula
$\color{#FF6800}{ 13 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize by using $ A^{2} - B^{2} = (A+B)(A-B)$
$\left ( \color{#FF6800}{ 13 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \left ( \color{#FF6800}{ 13 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$\left ( \color{#FF6800}{ 13 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \left ( 13 - 5 \right )$
$ $ Add $ 13 $ and $ 5$
$\color{#FF6800}{ 18 } \left ( 13 - 5 \right )$
$18 \left ( \color{#FF6800}{ 13 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
$ $ Subtract $ 5 $ from $ 13$
$18 \times \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 18 } \color{#FF6800}{ \times } \color{#FF6800}{ 8 }$
$ $ Multiply $ 18 $ and $ 8$
$\color{#FF6800}{ 144 }$
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