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Answer
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$\dfrac { \sqrt[ 50 ]{ 10 ^ { 48 } } } { \sqrt[ 50 ]{ 10 ^ { 49 } } }$
Calculate the value
$10 ^ { \color{#FF6800}{ - } \color{#FF6800}{ 0.02 } }$
$ $ Convert decimals to fractions $ $
$10 ^ { \color{#FF6800}{ - } \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 50 } } } }$
$10 ^ { \color{#FF6800}{ - } \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 50 } } } }$
$ $ If the exponent is negative, change it to a fraction $ $
$\dfrac { 1 } { 10 ^ { \frac { 1 } { 50 } } }$
$\dfrac { 1 } { \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ \frac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 50 } } } } }$
$ $ Calculate power $ $
$\dfrac { 1 } { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } } }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { \left ( \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \right ) ^ { \color{#FF6800}{ 49 } } } { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 49 } } } } }$
$\color{#FF6800}{ \dfrac { \left ( \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \right ) ^ { \color{#FF6800}{ 49 } } } { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 49 } } } } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { \left ( \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \right ) ^ { \color{#FF6800}{ 48 } } } { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 49 } } } } }$
$\dfrac { \left ( \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } } \right ) ^ { \color{#FF6800}{ 48 } } } { \sqrt[ 50 ]{ 10 ^ { 49 } } }$
$ $ Calculate power $ $
$\dfrac { \sqrt[ \color{#FF6800}{ 50 } ]{ \color{#FF6800}{ 10 } ^ { \color{#FF6800}{ 48 } } } } { \sqrt[ 50 ]{ 10 ^ { 49 } } }$
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