document.write( "Question 63600: Hi I am not sure how to solve this problem, please help, thanks.\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29x%5E%28-2%2F3%29%2B%282%2F3%29x%5E%28-5%2F3%29=0\"
\n" ); document.write( "

Algebra.Com's Answer #44332 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(1/3)x^(-2/3)+(2/3)x^(-5/3)=0
\n" ); document.write( "Multiply thru by 3 to get:
\n" ); document.write( "x^(-2/3)+2x^(-5/3)=0
\n" ); document.write( "Since x^(-5/3)is the smaller of x^(-2/3) and x^(-5/3), factor it out:
\n" ); document.write( "[x^(-5/3)][x+2]=0
\n" ); document.write( "Then x^(-5/3)=0 or (x-2)=0
\n" ); document.write( "Therefore: x=0 or x=-2
\n" ); document.write( "----------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );