1) Find the total number of prime factors in the expression$4^{11}\times 7^{5}\times 11^{2}$? A) 18 B) 31 C) 29 D) 20 Answer: Option CExplanation:$4^{11}\times 7^{5}\times 11^{2}=(2^{2})^{11}\times 7^{5}\times 11^{2}$$=2^{22}\times 7^{5}\times 11^{2}$ Total number of prime factors =22+5+2=29
