SOLUTION: Solve : (w+1)^3/2 = 64 I know the answer is 15 but I don't know how to get to that answer. Could you please solve this step by step for me?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve : (w+1)^3/2 = 64 I know the answer is 15 but I don't know how to get to that answer. Could you please solve this step by step for me?      Log On


   

Question 695928: Solve : (w+1)^3/2 = 64
I know the answer is 15 but I don't know how to get to that answer. Could you please solve this step by step for me?
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
+%28w%2B1%29%5E%283%2F2%29+=+64+

Square both sides:
+%28w%2B1%29%5E3+=+64%2A64+
+%28w%2B1%29%5E3+=+4096+

Take cube roots:
+w%2B1+=+4096%5E%281%2F3%29+
+w%2B1+=+4096%5E%281%2F3%29+
+w%2B1+=+16%29+
+w+=+15%29+