A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γs. What will be value of 5J in this new system?

Joule is a unit of energy.Dimensional formula of energy is ML2T−2. Comparing with MaLbTc, we get a=1,b=2,c=−2As n2=n1M1M2aL1L2bT1T2c=51kgαkg′1mβm21sγs−2=5γ2αβ2=5α-1β-2γ2