document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886822>Question 886822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i want to know the answer and procedure of this (5^-1)=(x^-6) please solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536171 by </B><A HREF=/tutors/aboutme.mpl?userid=GulleyGirlz><B>GulleyGirlz(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=GulleyGirlz><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=536171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5&#8722;1=x^&#8722;6\r<BR>\n" );
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document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. <BR>\n" );
document.write( "x^&#8722;6=5^&#8722;1\r<BR>\n" );
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document.write( "Remove the negative exponent by rewriting 5^&#8722;1 as 1/5. A negative exponent follows the rule a^&#8722;n=1/a^n.<BR>\n" );
document.write( "x^&#8722;6=1/5\r<BR>\n" );
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document.write( "Remove the negative exponent in the numerator by rewriting x^&#8722;6 as 1/x^6. A negative exponent follows the rule: a^&#8722;n=1/a^n.<BR>\n" );
document.write( "1/x^6=1/5\r<BR>\n" );
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document.write( "Set up the rational expression with the same denominator over the entire equation. <BR>\n" );
document.write( "5/5x^6=x^6/5x^6\r<BR>\n" );
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document.write( "Since the expression on each side of the equation has the same denominator, the numerators must be equal. <BR>\n" );
document.write( "5=x^6\r<BR>\n" );
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document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. <BR>\n" );
document.write( "x^6=5\r<BR>\n" );
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document.write( "Take the +6th root of both sides of the equation to eliminate the exponent on the left-hand side. <BR>\n" );
document.write( "x=±^6&#8730;5 \r<BR>\n" );
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document.write( "First, substitute in the + portion of the ± to find the first solution. <BR>\n" );
document.write( "x=^6&#8730;5\r<BR>\n" );
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document.write( "Next, substitute in the &#8722; portion of the ± to find the second solution. <BR>\n" );
document.write( "x=&#8722;^6&#8730;5\r<BR>\n" );
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document.write( "The complete solution is the result of both the + and &#8722; portions of the solution. <BR>\n" );
document.write( "x=^6&#8730;5,&#8722;6&#8730;5 <BR>\n" );
document.write( "x&#8776;1.307660486012,&#8722;1.307660486012 </SPAN>\n" );
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