The 5th power of a positive number is equal to the product of 1/3 and the 6th power of the number. What is the ratio of this number's 12th power to its 9th power? Express your answer as a common fraction.
The 5th power of a positive number is equal to the product of 1/3 and the 6th power of the number. What is the ratio of this number's 12th power to its 9th power? Express your answer as a common fraction.
x5 x6
––– = ––– Dividing both sides by x5, x = 3
1 3
x12 x3
–––– = –––– = 33 = 27
x9 1