document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68828>Question 68828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify for this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+square+root+of+32x%5E5z%5E10+ ALIGN=MIDDLE  ALT=\"+5+square+root+of+32x%5E5z%5E10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "the 5 is small outside on the left of square root of 32x^5z^10 </SPAN>\n" );
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document.write( "Since we have 5th root, we need to find the following:<BR>\n" );
document.write( "32 = 2*2*2*2*2<BR>\n" );
document.write( "   = 2^5\r<BR>\n" );
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document.write( "x^5 = x*x*x*x*x<BR>\n" );
document.write( "  = x^5\r<BR>\n" );
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document.write( "z^10 = z*z*z*z*z*z*z*z*z*z<BR>\n" );
document.write( "     = z^5 * z^5<BR>\n" );
document.write( "     = (z^5)^2\r<BR>\n" );
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document.write( "therefore the 5throot of 32x^5z^10 = 2xz^2 </SPAN>\n" );
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