Convert the unit of work done from MKS system to CGS system (i.e. joule )

Explanation

Dimensional formula of energy is `M^(1)L^(2)T^(-2)`
Let `IJ = n ergs implies n = J//ergs`
`:.n_2 = n_1 [(M_1)/(M_2)]^(1) [(L_1)/(L_2)]^(1)[(T_1)/(T_2)]^(-2)`
`implies n = [(1 kg)/(1 g)] [(1 m)/(1 cm)]^(1) [(1s)/(1s)]^(-2) = ((n_2)/(n_1) = n)`
`implies n = [(1000 g)/(1 g)] [(100 cm)/(1 cm)]^(1)[(1s)/(1s)]^(-2)`
`implies n = [1000] xx [100]^2 xx [1]^1 = 10^7`
`:.1 ` Joule = `10^7` ergs.