A) 18
B) 29
C) 110
D) 22
Correct Answer: B
Solution :
[b] \[{{\left( 4 \right)}^{11}}\times {{\left( 7 \right)}^{5}}\times {{\left( 11 \right)}^{2}}={{\left( 2\times 2 \right)}^{11\text{ }}}\times {{\left( 7 \right)}^{5}}\times {{\left( 11 \right)}^{2}}\] \[={{2}^{11}}\times {{2}^{11}}\times {{7}^{5}}\times \text{ 1}{{\text{1}}^{2}}={{2}^{22}}\times {{7}^{5}}\times {{11}^{2}}\] \[\therefore \] Total number of prime factors \[=\left( 22+5+2 \right)=29\]
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