document.write( "Question 263082: Z^m/n = z^m*1/n = (z^1/n)^m = (n/square root of z)^m.
\n" ); document.write( "What is the reasoning behind each step? I'm really not understanding how they get from one step to the next.
\n" ); document.write( "

Algebra.Com's Answer #193819 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"z%5E%28m%2Fn%29=z%5E%28m%2A%281%2Fn%29%29%5E%22%22\" Use the property that \"a%2Fb=a%281%2Fb%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E%28m%2Fn%29=z%5E%28%281%2Fn%29m%29%5E%22%22\" Commute (ie swap) the terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E%28m%2Fn%29=%28z%5E%281%2Fn%29%29%5Em%5E%22%22\" Use the identity \"x%5E%28y%2Az%29=%28x%5E%28y%29%29%5Ez\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E%28m%2Fn%29=%28root%28n%2Cz%29%29%5Em%5E%22%22\" Convert to radical notation. Remember that \"x%5E%28m%2Fn%29%5E%22%22=root%28n%2Cx%5Em%29\"
\n" ); document.write( "
\n" );