SOLUTION: x3/2=125

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Question 345957: x3/2=125
Found 2 solutions by haileytucki, MathTherapy:
Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
(x^(3))/(2)=125 the ~ symbolizes the square root of
Multiply each term in the equation by 2.
(x^(3))/(2)*2=125*2
Simplify the left-hand side of the equation by canceling the common factors.
x^(3)=125*2
Multiply 125 by 2 to get 250.
x^(3)=250
Take the cube root of both sides of the equation to eliminate the exponent on the left-hand side.
x=~3:(250)
Pull all perfect cube roots out from under the radical. In this case, remove the 5 because it is a perfect cube.
x=5~3:(2)_x=6.3

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
x3/2=125
x%5E%283%2F2%29+=+125
x%5E%28%283%2F2%29%282%2F3%29%29+=+125%5E%282%2F3%29____Raising each expression on each side of equation by the fractional-reciprocal-power

x%5E1+=+%28root%283%2C125%29%29%5E2

x+=+5%5E2
x = highlight_green%2825%29