SOLUTION: (x+4)^-1/3=4

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Question 34807: (x+4)^-1/3=4

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%2B4%29%5E%28-1%2F3%29+=+4+

First, get rid of the negative power:
+1%2F%28x%2B4%29%5E%281%2F3%29+=+4+

Now raise everything to cube, to remove the (1/3) power (which means a cube root). Also remember that 1%5E3 is just 1 still:
+%281%2F%28x%2B4%29%5E%281%2F3%29%29%5E3+=+4%5E3+
+1%2F%28x%2B4%29+=+4%5E3+
+1%2F%28x%2B4%29+=+64+
+1+=+64%28x%2B4%29+
+1+=+64x%2B256+
+-255+=+64x+
+-255%2F64+=+x+

jon.