document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391270>Question 391270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.<BR>\n" );
document.write( "The instructions are to simplify this expression. \r<BR>\n" );
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document.write( "(25a^2b^8)^(1/2)\r<BR>\n" );
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document.write( "Thank you so much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277605 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (25a^(2)b^(8))^((1)/(2))\r<BR>\n" );
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document.write( "Expand the exponent (((1)/(2))) to the expression.<BR>\n" );
document.write( "25^((1)/(2))a^(2*((1)/(2)))b^(8*((1)/(2)))\r<BR>\n" );
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document.write( "Multiply 2 by each term inside the parentheses.<BR>\n" );
document.write( "25^((1)/(2))ab^(8*((1)/(2)))\r<BR>\n" );
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document.write( "Multiply 8 by each term inside the parentheses.<BR>\n" );
document.write( "25^((1)/(2))ab^(4)\r<BR>\n" );
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document.write( "An expression with a fractional exponent can be written as a radical with an index equal to the denominator of the exponent.<BR>\n" );
document.write( "((~(25))*ab^(4))\r<BR>\n" );
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document.write( "Pull all perfect square roots out from under the radical.  In this case, remove the 5 because it is a perfect square.<BR>\n" );
document.write( "((5)*ab^(4))\r<BR>\n" );
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document.write( "Multiply (5) by ab^(4) to get ab^(4)(5).<BR>\n" );
document.write( "(ab^(4)(5))\r<BR>\n" );
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document.write( "Multiply ab^(4) by each term inside the parentheses.<BR>\n" );
document.write( "5ab^(4) </SPAN>\n" );
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