SOLUTION: Tutor please help me with this word problem, this is just a pre algebra. Thank You Very much. The number is the smallest number that can be written as a power of 3, 9, or 27.

Algebra ->  Exponents -> SOLUTION: Tutor please help me with this word problem, this is just a pre algebra. Thank You Very much. The number is the smallest number that can be written as a power of 3, 9, or 27.      Log On


   

Question 85450: Tutor please help me with this word problem, this is just a pre algebra. Thank You Very much.
The number is the smallest number that can be written as a power of 3, 9, or 27.
Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
Excluding 1 (which can be written as a 0 power of anything), the smallest number is 729. Noting that 3 = 3%5E1 , 9 = 3%5E2 and 27 = 3%5E3, the LCM of 1 , 2 and 3 is 6, so the answer would be 3%5E6. This is = 729.3%5E6 = 729, 9%5E3 = 729 and 27%5E2 = 729.