Answer
(a) $I = 4.0\times 10^{-8}~W/m^2$
(b) $I = 2.0\times 10^{-2}~W/m^2$
Work Step by Step
(a) We can find the intensity of the sound wave as:
$I = I_0~10^{\beta/10}$
$I = (10^{-12}~W/m^2)~10^{46/10}$
$I = 4.0\times 10^{-8}~W/m^2$
(b) We can find the intensity of the sound wave as:
$I = I_0~10^{\beta/10}$
$I = (10^{-12}~W/m^2)~10^{103/10}$
$I = 2.0\times 10^{-2}~W/m^2$