SOLUTION: If 3 is raised to the 3y power and equals 216, what is the value of 3y? i tried 4.5 the exponents of 3, 3^2, 3^3, etc.. 3 9 27 81

Algebra ->  Exponents -> SOLUTION: If 3 is raised to the 3y power and equals 216, what is the value of 3y? i tried 4.5 the exponents of 3, 3^2, 3^3, etc.. 3 9 27 81      Log On


   

Question 720848: If 3 is raised to the 3y power and equals 216, what is the value of 3y?
i tried 4.5
the exponents of 3, 3^2, 3^3, etc..
3 9 27 81
Found 2 solutions by rfer, josgarithmetic:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
27y^3=216
y^3=216-27
y^3=189
y=cu rt 189
y=5.738

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%283y%29=216. What is the complete prime factorization of 216?

216=2%5E3%2A3%5E3.
3%5E%283y%29=%282%2A3%29%5E3.
Can you now solve the problem?