document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185236>Question 185236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify the expression\r<BR>\n" );
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document.write( "(4x^5)^3<BR>\n" );
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document.write( "(8y^6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139081 by </B><A HREF=/tutors/aboutme.mpl?userid=feliz1965><B>feliz1965(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=feliz1965><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=139081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4x^5)^3<BR>\n" );
document.write( "______ <BR>\n" );
document.write( "(8y^6)\r<BR>\n" );
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document.write( "In the numerator, we apply the power rule for exponents.\r<BR>\n" );
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document.write( "The power rule: (x^a)^b = x^(ab)\r<BR>\n" );
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document.write( "Then (4x^5)^3 = 4x^(15)...This is our numerator now.\r<BR>\n" );
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document.write( "The denominator stays the same.\r<BR>\n" );
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document.write( "We now have [4x^(15)]/[(8y^6)] as the final answer.\r<BR>\n" );
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document.write( "There is nothing more that can be done to simplify this fraction.\r<BR>\n" );
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