document.write( "Question 927305: Which term in the expansion of ((1/2x^3) - x^5))^8 is a constant?\r
\n" ); document.write( "\n" ); document.write( "I know you put it into the equation t (k+1) = (nCk) a^(n-k) b^k to get:\r
\n" ); document.write( "\n" ); document.write( "= 8Ck (1/(2x^3))^(8-k) (-x^5)^k\r
\n" ); document.write( "\n" ); document.write( "But I don't know what to do after.\r
\n" ); document.write( "\n" ); document.write( "Thank you for the help!
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Algebra.Com's Answer #563126 by Edwin McCravy(20065) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Write  with a negative exponent, \r\n" );
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document.write( "Multiply exponents and write  as  \r\n" );
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document.write( "Multiply exponents again and write  as \r\n" );
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document.write( "Write  as  and then as \r\n" );
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document.write( "Next add the exponents of x:  and get \r\n" );
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document.write( "Now remember what I said in the beginning.\r\n" );
document.write( "To becom a constant the variable x must be raised to the 0 power:\r\n" );
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document.write( "So we set the exponent of x equal to 0\r\n" );
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document.write( "So we substitute 3 for x:\r\n" );
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document.write( "For your information so as to see what the entire expansion\r\n" );
document.write( "looks like when simplified:\r\n" );
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document.write( "So the constant term is really the 4th term, when k=3.\r\n" );
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document.write( "Edwin

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