Question 1158792
  Loudness (L) in decibels (dB) is calculated as {{{L=10*log((I/I[0]))}}} ,
where {{{I[0]=10^-12}}} {{{"W/"}}}{{{m^2}}} and {{{I}}} is sound intensity in the same units.
Solving for {{{I}}}:
{{{L=10*log((I/I[0]))}}} --> {{{L/10=log((I/I[0]))}}} --> {{{10^"L/10"=I/I[0]}}} --> {{{I=I[0]*10^"L/10"}}}
With the top up:
{{{L=80}}}{{{(in DB)}}} is the noise level inside a convertible,
so the sound intensity in {{{"W/"}}}{{{m^2}}} is {{{I=10^-12*10^"80/10" =10^-12*10^8=10^(-12+8)=10^-4=highlight(1*10^-4=0.0001)}}} .
With the top down:
{{{L=97}}}{{{(in DB)}}} is the noise level inside a convertible,
so the sound intensity in {{{"W/"}}}{{{m^2}}} is
{{{I=10^-12*10^"97/10"=10^-12*10^9.7=10^(-12+9.7)=10^-2.3=highlight(0.0050=5.0*10^-3)}}}(rounded).