document.write( "Question 124362: Please help:\r
\n" ); document.write( "\n" ); document.write( "Type using only positive exponents:\r
\n" ); document.write( "\n" ); document.write( "36x^-4 y^2 z^0 / 5x^2 y^-3 z^-2\r
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Algebra.Com's Answer #91139 by Edwin McCravy(20066) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help:
\n" ); document.write( "Type using only positive exponents:
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document.write( "Immediately when we see a factor which has a zero\r\n" );
document.write( "exponent, we replace the whole base and exponent\r\n" );
document.write( "by the number 1.  So  \r\n" );
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document.write( "becomes\r\n" );
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document.write( "or just\r\n" );
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document.write( "Next use this rule about fractions which have \r\n" );
document.write( "numerator and/or denominator factors with\r\n" );
document.write( "negative exponents:\r\n" );
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document.write( "If a factor on top has a negative exponent,\r\n" );
document.write( "then bring it to the bottom and change its\r\n" );
document.write( "exponent from negative to positive:\r\n" );
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document.write( "and the \"vice-versa\" of it:\r\n" );
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document.write( "If a factor on the bottom has a negative \r\n" );
document.write( "exponent, then bring it to the top and change \r\n" );
document.write( "its exponent from negative to positive:\r\n" );
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document.write( "So we bring the  from the top\r\n" );
document.write( "to the bottom but change the sign of its\r\n" );
document.write( "exponent to positive, so we erase the \r\n" );
document.write( "in the top and put  in the bottom. I'll\r\n" );
document.write( "put it on the bottom right: \r\n" );
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document.write( " \r\n" );
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document.write( "Next we bring the  from the bottom\r\n" );
document.write( "to the top but change the sign of its\r\n" );
document.write( "exponent to positive, so we erase the \r\n" );
document.write( "on the bottom and put  in the top. I'll\r\n" );
document.write( "put it on the top right: \r\n" );
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document.write( "Next we bring the  from the bottom\r\n" );
document.write( "to the top but change the sign of its\r\n" );
document.write( "exponent to positive, so we erase the \r\n" );
document.write( "on the bottom and put  in the top. I'll\r\n" );
document.write( "put it on the top right also:\r\n" );
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document.write( "Now we have all the exponents positive, so all\r\n" );
document.write( "we need do is simplify by adding exponents:\r\n" );
document.write( "We replace  in the top by \r\n" );
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document.write( "Next we replace  in the bottom by \r\n" );
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document.write( "That's the final answer.\r\n" );
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document.write( "Now you need to type that in using the standard keyboard\r\n" );
document.write( "symbols.  BTW you had your original expression typed wrong.\r\n" );
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document.write( "You have this:\r\n" );
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document.write( "36x^-4 y^2 z^0 / 5x^2 y^-3 z^-2\r\n" );
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document.write( "But that means the same as this:\r\n" );
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document.write( "not this\r\n" );
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document.write( " \r\n" );
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document.write( "Your mistake in typing was the failure to place\r\n" );
document.write( "parentheses around any numerator or denominator \r\n" );
document.write( "when it is necessary to tell the computer where \r\n" );
document.write( "the numerator or denominator starts and where it \r\n" );
document.write( "stops.  \r\n" );
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document.write( "To type your final answer, \r\n" );
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document.write( "using standard keyboard characters, this is what\r\n" );
document.write( "you type:\r\n" );
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document.write( "(36y^5z^2)/(5x^6)\r\n" );
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document.write( "Notice that the parenthese around the numerator and\r\n" );
document.write( "denominator tell the computer or reader where they\r\n" );
document.write( "starts and where they end.\r\n" );
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document.write( "If you were to type this instead:\r\n" );
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document.write( "36y^5z^2/5x^6\r\n" );
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document.write( "it would be wrong, for if you fail to\r\n" );
document.write( "indicate where a numerator or denominator\r\n" );
document.write( "starts and stops it is automatically assumed\r\n" );
document.write( "that the numerator and denominator contain\r\n" );
document.write( "as few factors as possible.  So if you left\r\n" );
document.write( "off the parentheses it would be understood\r\n" );
document.write( "to be: \r\n" );
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document.write( "which would be wrong since that is different \r\n" );
document.write( "from this:\r\n" );
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document.write( "Edwin

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