If a = 105 and a^3= 21 * 35 * 45 * b, what is the value of b?	Choose the correct choice from the following answers.
A) 35
B) 42
C) 45
D) 49
E) 54
First step will be to break down all the numbers into their prime factors.   105 = 3 * 5 * 7   21 = 7 * 3   35 = 7 * 5   45 = 3 * 3 * 5   so, (105)^3 = 3 * 7 * 7 * 5 * 3 *3 *5 *b   Therefore (3 * 5 * 7) ^ 3 = 3^3 * 5^2 * 7^2 *b   Therefore, b = 3^3 * 5^3 * 7 ^3/3 ^3 * 5 ^2 * 7^2   b = 5*7= 
<gadget id="calculator">5*7</gadget>
<output>35</output>
35   Correct answer 35.
<result>A</result>
If a = 105 and a^3= 21 * 35 * 45 * b, what is the value of b?