Method: n_1u_1 = n_2u_2, using dimensional formula [M^a L^b T^c]: n_2 = n_1 * (M_1/M_2)^a * (L_1/L_2)^b * (T_1/T_2)^c

Example 1: 1 Joule to CGS (erg) [E] = [ML^2T^{-2}] n_2 = 1 * (1000)^1 * (100)^2 * (1)^{-2} = 10^3 * 10^4 = 10^7 1 J = 10^7 erg

Example 2: G = 6.67 x 10^{-11} to CGS [G] = [M^{-1}L^3T^{-2}] n_2 = 6.67x10^{-11} * (10^3)^{-1} * (10^2)^3 * (1)^{-2} = 6.67x10^{-11} * 10^{-3} * 10^6 = 6.67 x 10^{-8} G = 6.67 x 10^{-8} dyne*cm^2/g^2

Key: Identify the dimensional formula first, then substitute the conversion factors for each base unit.