SOLUTION: How would I solve for "x" in the problem "x^(3/2)=125"? I know the first step would be to convert to sqrt(x^3)=125 but from there I am not certain what I should do next?

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Question 892987: How would I solve for "x" in the problem "x^(3/2)=125"?
I know the first step would be to convert to sqrt(x^3)=125 but from there I am not certain what I should do next?
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How would I solve for "x" in the problem "x^(3/2)=125"?
I know the first step would be to convert to sqrt(x^3)=125 but from there I am not certain what I should do next?
------------
x^(3/2)=125
Square both sides
x^3 = 15625
x%5E3+=+15265+=+25%5E3
The principal solution is
x = 25

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

How would I solve for "x" in the problem "x^(3/2)=125"?
I know the first step would be to convert to sqrt(x^3)=125 but from there I am not certain what I should do next?


x%5E%283%2F2%29+=+125

%28x%5E%283%2F2%29%29%5E%282%2F3%29+=+125%5E%282%2F3%29 ----- Raising each side to the reciprocal power of 3%2F2

x+=+%28root+%283%2C+125%29%29%5E2

x+=+5%5E2, or highlight_green%28highlight_green%28x+=+25%29%29