Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^3  Pick one.
A) 26
B) 22
C) 25
D) 30
E) 29
(4)^11x (7)^5 x (11)^3   = (2 x 2)^11 x (7)^5 x (11)^3   = 2^11 x 2^11 x7^5x 11^3   = 2^22 x 7^5 x11^3   Total number of prime factors = (22 + 5 + 3)= 
<gadget id="calculator">(22 + 5 + 3)</gadget>
<output>30</output>
30.   Answer is 30.
<result>D</result>
Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^3