document.write( "Question 656517: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers.\r
\n" ); document.write( "\n" ); document.write( "(2x^1/5)^5\r
\n" ); document.write( "\n" ); document.write( "I got 2x^(1/5)(5/1)
\n" ); document.write( "I cancelled out the 5s and was left with just 2x, however, the book says it should be 32x. I know 2^5 is 32, but how would I raise it to the 5th power if I cancelled it out? \n" ); document.write( "

Algebra.Com's Answer #409593 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282x%5E%281%2F5%29%29%5E5\"$
\n" ); document.write( "Your error is in the first step. The correct first step is to use the $\"%28a%2Ab%29%5En+=+a%5En%2Ab%5En\"$ rule:
\n" ); document.write( " $\"2%5E5%2A%28x%5E%281%2F5%29%29%5E5\"$
\n" ); document.write( "Now you have the 32 and the 5's that cancel. \n" ); document.write( "

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