Question 345957
(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