what is chemical formula of soap solution????

Soaps are sodium and potassium salts of long chain fatty acids and are represented by the formula RCOO^-Na⁺, where R denotes any long chain alkyl group containing 12 to 18 carbon atoms. The ionic part of soap(COO^-)  is attracted to polar water molecules and tends to dissolve in water whereas the hydrocarbon chain is water repelling. So, in water soap molecules form a micelle with hydrocarbon chains stucking together inside and ionic part exposed to water. Thus, a soap solution consist of micelles.