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Formula
Calculate the value
Answer
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$$\dfrac { \sqrt{ 2 } } { 2 } \times \dfrac { \sqrt{ 2 } } { 2 }$$
$\dfrac { 1 } { 2 }$
Calculate the value
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \times \dfrac { \sqrt{ 2 } } { 2 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 1 } } \times \dfrac { \sqrt{ 2 } } { 2 }$
$\left ( \dfrac { \sqrt{ 2 } } { 2 } \right ) ^ { 1 } \times \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { \sqrt{ 2 } } { 2 } \right ) ^ { 1 } \left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 1 } }$
$\left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\left ( \dfrac { \sqrt{ 2 } } { 2 } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 1 $ and $ 1$
$\left ( \dfrac { \sqrt{ 2 } } { 2 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } } } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { \left ( \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } }$
$\dfrac { \left ( \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 2 ^ { 2 } }$
$ $ If you square the radical sign, it will disappear $ $
$\dfrac { \color{#FF6800}{ 2 } } { 2 ^ { 2 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
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