SOLUTION: change to radical form m⅔

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Question 421869: change to radical form m⅔
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
m^(2/3) = %28root%283%2Cm%29%29%5E2 or root%283%2Cm%5E2%29

m^(2/3) is equivalent to (m^(1/3))^2.

m^(2/3) is also equivalent to( m^2)^(1/3)

the exponentiation rule that makes this happen is (m^a)^b = m^(a*b).

this allows (m^(1/3))^2 to be equal to m^(2/3).

this also allows (m^2)^(1/3) to be equal to m^(2/3).

this is because 2 * (1/3) = 2/3 and (1/3) * 2 = 2/3.

any time you have x^(1/n), you can replace it with root%28n%2Cx%29

any time you have x^(y/n), you can replace it with (x^y)^(1/n) or you can replace it with (x^(1/n)^y.

if with (x^y)^(1/n), then it becomes root%28n%2C%28x%5Ey%29%29

if with (x^(1/n))^y, then it becomes %28root%28n%2Cx%29%29%5Ey