# Evaluate: 9.95^{-360}

## Expression: ${9.95}^{-360}$

Convert the decimal into a fraction

${\left( \frac{ 199 }{ 20 } \right)}^{-360}$

Express with a positive exponent using ${\left( \frac{ a }{ b } \right)}^{-n}={\left( \frac{ b }{ a } \right)}^{n}$

${\left( \frac{ 20 }{ 199 } \right)}^{360}$

To raise a fraction to a power, raise the numerator and denominator to that power

$\frac{ {20}^{360} }{ {199}^{360} }$

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