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 U = 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)/(1g)][(1m)/(1 cm)]^(1)[(1s)/(1s)]^(-2)((n^(2))/(n_(1))=n)`
`impliesn=[(1000g)/(1g)][(100cm)/(1cm)]^(2)[(1s)/(1s)]^(-2)`
`implies n = [1000]xx[100]^(2)xx[1]^(2)=10^(7)`
`:. ` 1 joule `= 10^(7)` ergs