1. The problem statement, all variables and given/known data The speed v of sound in a gas depends on the density p and pressure P of the gass. If this dependence is in the form of a power law that is, v = kpaPb where k, a and b are constants (k a dimensionless one). a. Determine by dimensional analysis the values of a and b. b. There by rewrite the above equation in a simpler form. 2. Relevant equations v = kpaPb 3. The attempt at a solution I started off by writing the dimensions in the equation [L][T]-1 = ( [M][L]-3 )a ( [M][L]-1[T]-2 )b From here, i think i have to try and find the values for a and b that allows the right hand side of the equation to match the left. Also in this situation, do i just leave K out of it? Any help to proceed to next step towards the answer would be great.