If a = 105 and a^3 = 21 × 25 × 45 × w, what is the value of w?	Choose the most appropriate option.
A) 35	B) 42	C) 45	D) 49	E) 54

Rationale: "a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × w = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x w = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x w = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x w w = 7 ^ 2 = 49 answer d"
Answer: D