SOLUTION: please solve this rational equation: x^3/16= x^6/2

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Question 150763: please solve this rational equation: x^3/16= x^6/2
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E3%2F16+=+x%5E6%2F2 Multiply both sides by 2.
2x%5E3%2F16+=+x%5E6 Divide both sides by x%5E3
2%2F16+=+x%5E3 Simplify the left side.
1%2F8+=+x%5E3 Take the cube root of both sides.
1%2F2+=+x
Solution: x+=+1%2F2
Check:
x%5E3%2F16+=+x%5E6%2F2 Substitute x+=+1%2F2
%28%281%2F2%29%5E3%29%2F16+=+%28%281%2F2%29%5E6%29%2F2
%281%2F8%29%2F16+=+%281%2F64%29%2F2 Simplify both sides.
%281%2F8%29%2A%281%2F16%29+=+%281%2F64%29%2A%281%2F2%29
1%2F128+=+1%2F128