document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155266>Question 155266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To simplify the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%5E2%2Ay%5E2%29+%2A+3+sqrt+%28x%5E5%2Ay%5E4%29+%2A+5+sqrt+%28x%5E5%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%5E2%2Ay%5E2%29+%2A+3+sqrt+%28x%5E5%2Ay%5E4%29+%2A+5+sqrt+%28x%5E5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the form x^r*y^s we first rewrite each term in fractional powers:<BR>\n" );
document.write( "{{ sqrt (x^2*y^2) = x^1*y^1 }},<BR>\n" );
document.write( "{{ 3 sqrt (x^5*y^4) = x^(5/3)*y^(4/3) }}<BR>\n" );
document.write( "and {{ 5 sqrt (x^5) = x^1 }}.<BR>\n" );
document.write( "Combining all the powers we get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%5E2%2Ay%5E2%29+%2A+3+sqrt+%28x%5E5%2Ay%5E4%29+%2A+5+sqrt+%28x%5E5%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%5E2%2Ay%5E2%29+%2A+3+sqrt+%28x%5E5%2Ay%5E4%29+%2A+5+sqrt+%28x%5E5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x^__*y^__. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114333 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=114333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IF THE 3 & 5 ARE POWER ROOTS THEN:<BR>\n" );
document.write( "(X^1Y^1)(X^5/3Y^4/3)(X^5/5)=(X^1Y^1)(X^5/3Y^4/3)(X^1)=X^11/3Y^7/3 ANSWER. </SPAN>\n" );
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