document.write( "Question 1126432: What's 4a^2^ - a^3^ divided by a^4^ ? I have 36 +27 divided by 81 please can someone explain. a=-3 \n" ); document.write( "
Algebra.Com's Answer #742746 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
looks like you have the right answer.\r
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\n" ); document.write( "\n" ); document.write( "when you replace a with -3, the expression becomes (4*(-3)^2 - (-3)^3) / (-3)^4.\r
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\n" ); document.write( "\n" ); document.write( "this results in 36 + 27) / 81 which results in 63/81 which results in 7/9.\r
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\n" ); document.write( "\n" ); document.write( "to simplify the algebraic expression, your would do the following:\r
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\n" ); document.write( "\n" ); document.write( "start with (4a^2 - a^3) / a^4.\r
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\n" ); document.write( "\n" ); document.write( "factor out an a^2 to get (a^2 * (4 - a)) / a^4.\r
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\n" ); document.write( "\n" ); document.write( "since a^2 / a^4 equals a^(2-4) = a^(-1) which is equal to 1/a^2, the expression becomes (4 - a) / a^2.\r
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\n" ); document.write( "\n" ); document.write( "i'm not quite sure, but i think that's as simple as it gets.\r
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\n" ); document.write( "\n" ); document.write( "when a = -3, that becomes (4 - (-3)) / (-3)^2 which becomes 7/9.\r
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\n" ); document.write( "\n" ); document.write( "the original expression and the final expression give you the same answer, so it appears that the simplification is correct.\r
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