document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391288>Question 391288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (36^2a^3/b^2)^1/4(8a^3/b^-2)^1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277577 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=277577\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ((36^(2)a^(3))/(b^(2)))^((1)/(4))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Squaring a number is the same as multiplying the number by itself (36*36).  In this case, 36 squared is 1296.<BR>\n" );
document.write( "((1296a^(3))/(b^(2)))^((1)/(4))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Expand the exponent (((1)/(4))) to the expression.<BR>\n" );
document.write( "(1296^((1)/(4))a^(3*((1)/(4))))/((b^(2))^((1)/(4)))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Expand the exponent (((1)/(4))) to the expression.<BR>\n" );
document.write( "(1296^((1)/(4))a^(3*((1)/(4))))/(b^(2*((1)/(4))))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "(1296^((1)/(4))a^((3)/(4)))/(b^(2*((1)/(4))))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Multiply 2 by each term inside the parentheses.<BR>\n" );
document.write( "(1296^((1)/(4))a^((3)/(4)))/(b^((1)/(2)))*((8a^(3))/(b^(-2)))^((1)/(3))\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( "((~4:(1296))*a^((3)/(4)))/(b^((1)/(2)))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Pull all perfect 4th roots out from under the radical.  In this case, remove the 6 because it is a perfect 4th.<BR>\n" );
document.write( "((6)*a^((3)/(4)))/(b^((1)/(2)))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Multiply (6) by a^((3)/(4)) to get a^((3)/(4))(6).<BR>\n" );
document.write( "(a^((3)/(4))(6))/(b^((1)/(2)))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Multiply a^((3)/(4)) by each term inside the parentheses.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*((8a^(3))/(b^(-2)))^((1)/(3))\r<BR>\n" );
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document.write( "Move all negative exponents from the denominator to the numerator and make the exponents positive.  A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*(8a^(3)(b^(2)))^((1)/(3))\r<BR>\n" );
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document.write( "Multiply out the values in the numerator and denominator to remove the parentheses in the expression.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*(8a^(3)b^(2))^((1)/(3))\r<BR>\n" );
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document.write( "Expand the exponent (((1)/(3))) to the expression.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*8^((1)/(3))a^(3*((1)/(3)))b^(2*((1)/(3)))\r<BR>\n" );
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document.write( "Multiply 3 by each term inside the parentheses.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*8^((1)/(3))ab^(2*((1)/(3)))\r<BR>\n" );
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document.write( "Multiply 2 by each term inside the parentheses.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*8^((1)/(3))ab^((2)/(3))\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( "(6a^((3)/(4)))/(b^((1)/(2)))*((~3:(8))*ab^((2)/(3)))\r<BR>\n" );
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document.write( "Pull all perfect cube roots out from under the radical.  In this case, remove the 2 because it is a perfect cube.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*((2)*ab^((2)/(3)))\r<BR>\n" );
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document.write( "Multiply (2) by ab^((2)/(3)) to get ab^((2)/(3))(2).<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*(ab^((2)/(3))(2))\r<BR>\n" );
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document.write( "Multiply ab^((2)/(3)) by each term inside the parentheses.<BR>\n" );
document.write( "(6a^((3)/(4)))/(b^((1)/(2)))*2ab^((2)/(3))\r<BR>\n" );
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document.write( "Multiply (6a^((3)/(4)))/(b^((1)/(2))) by 2ab^((2)/(3)) to get (12a^((7)/(4))b^((2)/(3)))/(b^((1)/(2))).<BR>\n" );
document.write( "(12a^((7)/(4))b^((2)/(3)))/(b^((1)/(2)))\r<BR>\n" );
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document.write( "Reduce the exponents of b by subtracting the denominator exponents from the numerator exponents.<BR>\n" );
document.write( "12a^((7)/(4))b^(((2)/(3))-((1)/(2)))\r<BR>\n" );
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document.write( "Multiply -1 by each term inside the parentheses.<BR>\n" );
document.write( "12a^((7)/(4))b^((2)/(3)-(1)/(2))\r<BR>\n" );
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document.write( "Combine -(1)/(2)+(2)/(3) into a single expression by finding the least common denominator (LCD).  The LCD of -(1)/(2)+(2)/(3) is 6.<BR>\n" );
document.write( "12a^((7)/(4))b^((1)/(6)) </SPAN>\n" );
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