SOLUTION: express the square root of x in the form x^k

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Question 950359: express the square root of x in the form x^k
Found 2 solutions by josmiceli, macston:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+x+%29+=+x%5Ek+
You can square both sides
+x+=+x%5E%282k%29+
Note that this is:
+x%5E1+=+x%5E%282k%29+
+1+=+2k+
+k+=+1%2F2+
So, I can now say:
+sqrt%28x%29+=+x%5E%281%2F2%29+
And, to prove it, you can square both sides again
+x%5E1+=+x%5E%28+2%2A%281%2F2%29%29+
+x%5E1+=+x%5E1+

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29=x%5E%281%2F2%29 (The exponent is 1%2F2).