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Formula
Calculate the value
Answer
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$\dfrac{ 1 }{ 0.1 ^{ 2 } }$
$100$
Calculate the value
$\dfrac { 1 } { \color{#FF6800}{ 0.1 } ^ { 2 } }$
$ $ Convert decimals to fractions $ $
$\dfrac { 1 } { \left ( \color{#FF6800}{ \dfrac { 1 } { 10 } } \right ) ^ { 2 } }$
$\dfrac { 1 } { \left ( \color{#FF6800}{ \dfrac { 1 } { 10 } } \right ) ^ { \color{#FF6800}{ 2 } } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { 1 } { \dfrac { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 2 } } } }$
$\color{#FF6800}{ \dfrac { 1 } { \dfrac { 1 ^ { 2 } } { 10 ^ { 2 } } } }$
$ $ Calculate the complex fraction $ $
$\color{#FF6800}{ \dfrac { 10 ^ { 2 } } { 1 ^ { 2 } } }$
$\dfrac { \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 2 } } } { 1 ^ { 2 } }$
$ $ Calculate power $ $
$\dfrac { \color{#FF6800}{ 100 } } { 1 ^ { 2 } }$
$\dfrac { 100 } { \color{#FF6800}{ 1 } ^ { \color{#FF6800}{ 2 } } }$
$ $ Calculate power $ $
$\dfrac { 100 } { \color{#FF6800}{ 1 } }$
$\color{#FF6800}{ \dfrac { 100 } { 1 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ 100 }$
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