SOLUTION: Assuming all variables are positive, what is the cube root of (x^6)/(250)?

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Question 937858: Assuming all variables are positive, what is the cube root of (x^6)/(250)?
Found 3 solutions by TimothyLamb, MathLover1, MathTherapy:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
cubeRoot( x^6/250 )
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method 1:
cubeRoot( 1/250 ) * cubeRoot( x^6 )
0.158740105197 * cubeRoot( x^3 * x^3 )
0.158740105197 * cubeRoot( x^3 ) * cubeRoot( x^3 )
0.158740105197 * x * x
0.158740105197 * xx
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method 2:
cubeRoot( 1/250 ) * cubeRoot( x^6 )
0.158740105197 * x^(6/3)
0.158740105197 * x^2
0.158740105197 * xx
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the cube root of x%5E6%2F250

root%283%2C%28x%5E6%2F250%29%29 .......since x%5E6=x%5E2%2Ax%5E2%2Ax%5E2=%28x%5E2%29%5E3 and 250=5%2A50=5%2A5%2A10=5%2A5%2A5%2A2=5%5E3%2A2, we have

=root%283%2C%28%28x%5E2%29%5E3%29%2F%285%5E3%2A2%29%29

=root%283%2C%28x%5E2%29%5E3%29%2F%28root%283%2C%285%5E3%29root%283%2C2%29%29%29


=x%5E2%2F5root%283%2C2%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Assuming all variables are positive, what is the cube root of (x^6)/(250)?


x%5E6%2F250, simplified, becomes: highlight_green%28%28x%5E2+%2A+root%283%2C+4%29%29%2F10%29