Search found 2 matches
SOLUTION IN DETAIL:
Due to x^a * x^b = x^a+b, therefore
(3^9 - 3^8)(3^7 - 3^6) = (3^8 * 3^1 - 3^8)(3^6 * 3^1 - 3^6)
= (3^8 * 3 - 3^8)(3^6 * 3 - 3^6)
= {3^8(3-1)}{3^6(3-1)}
= 3^8 * 2 * 3^6 * 2
= 2 * 2 * 3^8 * 3^6
= 4 * 3^8+6
= 4 * 3^14
The answer is (E).
- by Chirawat Sungkamee
Mon Aug 20, 2012 11:35 pm- Forum: Problem Solving
- Topic: (3^9-3^8)(3^7-3^6) equivilant to???
- Replies: 6
- Views: 1321
SOLUTION IN DETAIL: Due to x^a * x^b = x^a+b, therefore (3^9 - 3^8)(3^7 - 3^6) = (3^8 * 3^1 - 3^8)(3^6 * 3^1 - 3^6) = (3^8 * 3 - 3^8)(3^6 * 3 - 3^6) = {3^8(3-1)}{3^6(3-1)} = 3^8 * 2 * 3^6 * 2 = 2 * 2 * 3^8 * 3^6 = 4 * 3^8+6 = 4 * 3^14 The answer is (E).
- by Chirawat Sungkamee
Sun Aug 19, 2012 11:50 pm- Forum: Problem Solving
- Topic: (3^9 – 3^8) (3^7 – 3^6) =
- Replies: 3
- Views: 5997