SOLUTION: Z^m/n = z^m*1/n = (z^1/n)^m = (n/square root of z)^m. What is the reasoning behind each step? I'm really not understanding how they get from one step to the next.

Question 263082: Z^m/n = z^m*1/n = (z^1/n)^m = (n/square root of z)^m.
What is the reasoning behind each step? I'm really not understanding how they get from one step to the next.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the property that

Commute (ie swap) the terms.

Use the identity .

Convert to radical notation. Remember that
RELATED QUESTIONS
X^1/m=Y^1/n=Z^1/p, xyz=1 then... (answered by Fermat)

solve for u, z, y, t:... (answered by ikleyn)

Find m: m+c/n = b(x/a +... (answered by edjones)

m/(m-n)(m+n)/n+1/(m+n)^2 (answered by mangopeeler07)

Determine whether the function f : Z � Z → Z is onto if a) f (m, n) = m. b) f (m, (answered by Edwin McCravy)

solve for the indicated letter: n = m + z, solve for m m =... (answered by College Student)

n the provided triangle, x = 18 m, y = 14.5 m, z = 8.2 m, and h = 5.2 m. What is the... (answered by ikleyn)

m-n/n-m (answered by jim_thompson5910,mananth)

(m-n)-(m+n) (answered by Alan3354)