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Calculating the Multiplier from Decibels

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Calculate the output-to-input ratio (multiplier) for power or voltage from decibels (gain).
Gain (decibels) G
dB
Voltage Ratio Vo/Vi  Multiplier
Power Ratio Po/Pi  Multiplier
Even with the same decibel value, the output-to-input ratio differs between power and voltage.
\(\normalsize \\ \hspace{10px}Voltage:\hspace{10px} {\large\frac{Vo}{Vi}}=10^{\normalsize\frac{G}{20}}\\ \hspace{10px}Power:\hspace{20px} {\large\frac{Po}{Pi}}=10^{\normalsize\frac{G}{10}}\\\)

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Calculating the Multiplier from Decibels | Keisan