document.write( "Question 637367: How do you solve 2^(5/2) - 2^(3/2)? The fractions are fractional exponents (not mixed numbers). I submitted this question yesterday but I apologize it was in the wrong form (I did not include parentheses.)The answer is supposed to be 2^3/2 according to the answer key. I need to see it worked out line by line. Thanks so much! \n" ); document.write( "

Algebra.Com's Answer #401598 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+2%5E%285%2F2%29+-+2%5E%283%2F2%29+\"$
\n" ); document.write( "This is the same as
\n" ); document.write( " $\"+%28+2%5E%281%2F2%29%29%5E5+-+%28+2%5E%281%2F2%29%29%5E3+\"$
\n" ); document.write( "Factor out $\"++%28+2%5E%281%2F2%29%29%5E3+\"$
\n" ); document.write( " $\"++%28+2%5E%281%2F2%29%29%5E3+%2A%28+2%5E%281%2F2%29%5E2+-+1+%29+\"$
\n" ); document.write( " $\"+%28+2%5E%281%2F2%29%29%5E3+%2A%28+2+-+1+%29+\"$
\n" ); document.write( " $\"+2%5E%283%2F2%29+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+2%5E%285%2F2%29+-+2%5E%283%2F2%29+=+2%5E%283%2F2%29+\"$
\n" ); document.write( " $\"+2%5E%285%2F2%29+=+2%2A2%5E%283%2F2%29+\"$
\n" ); document.write( " $\"+2%5E%285%2F2%29+=+2%5E%282%2F2%29%2A2%5E%283%2F2%29+\"$
\n" ); document.write( " $\"+2%5E%285%2F2%29+=+2%5E%285%2F2%29+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );