document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896005>Question 896005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you divide a cubed root by a cubed root<BR>\n" );
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document.write( "2+ 3 cubed divided by 6 cubed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543177 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula when dealing with exponents is as follows:\r<BR>\n" );
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document.write( "(a*b)^x = a^x * b^x\r<BR>\n" );
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document.write( "(a/b)^x = a^x / b^x\r<BR>\n" );
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document.write( "assume a = 4 and b = 2\r<BR>\n" );
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document.write( "a^3 * b^3 is equal to (a*b)^3\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "4^3 * 2^3 = 64 * 8 = 512\r<BR>\n" );
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document.write( "by the formula, however, you get:\r<BR>\n" );
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document.write( "4^3 * 2^3 = (4*2)^3 = 8^3 = 512\r<BR>\n" );
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document.write( "the answer is the same as it should be because the formula is one of the properties of exponent arithmetic.\r<BR>\n" );
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document.write( "not let's look at 4^3 / 2^3.\r<BR>\n" );
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document.write( "this follows the form of a^x / b^x = (a/b)^x\r<BR>\n" );
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document.write( "we know that 4^3 / 2^3 is equal to 64 / 8 which is equal to 8.\r<BR>\n" );
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document.write( "we can use the formula as well to get:\r<BR>\n" );
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document.write( "4^3 / 2^3 is equal to (4/2)^3 is equal to 2^3 is equal to 8.\r<BR>\n" );
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document.write( "you get the same answer both ways as you should because the properties of exponent arithmetic tell you that you will.\r<BR>\n" );
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document.write( "so the rule is:\r<BR>\n" );
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document.write( "a^x * b^x = (a*b)^x\r<BR>\n" );
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document.write( "a^x / b^x = (a/b)^x\r<BR>\n" );
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document.write( " </SPAN>\n" );
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