document.write( "Question 885269: Simplify x^4*x^6*x^7 \n" ); document.write( "
Algebra.Com's Answer #535025 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I like to give explanations of why you do what you do in math, rather\r\n" );
document.write( "than just tell you how to do it.  So here is why we do what we do.  It\r\n" );
document.write( "makes math a lots easier if you understand why you do what you do, not\r\n" );
document.write( "just how to do it.\r\n" );
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document.write( "\"blue%28x%5E4%29%2Ared%28x%5E6%29%2Agreen%28x%5E7%29\"\r\n" );
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document.write( "Break it down:\r\n" );
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document.write( "\"blue%28x%5E4%29\"\"%22%22=%22%22\"\"blue%28x%2Ax%2Ax%2Ax%29\"\r\n" );
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document.write( "\"red%28x%5E6%29\"\"%22%22=%22%22\"\"red%28x%2Ax%2Ax%2Ax%2Ax%2Ax%29\"\r\n" );
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document.write( "\"green%28x%5E7%29\"\"%22%22=%22%22\"\"green%28x%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%29\"\r\n" );
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document.write( "So therefore\r\n" );
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document.write( "\"blue%28x%5E4%29%2Ared%28x%5E6%29%2Agreen%28x%5E7%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Count the x's. there are 17 x's all multiplied together, so we\r\n" );
document.write( "write that as \"x%5E17\"\r\n" );
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document.write( "So a shorter way than writing out all the x's that are multiplied \r\n" );
document.write( "together and counting them up, is to simply add up the numbers\r\n" );
document.write( "4+6+7 getting 17.  Then you don't have to write out all the x's that\r\n" );
document.write( "are multiplied and then count them.  Just add up the exponents.\r\n" );
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document.write( "Short way:\r\n" );
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document.write( "\"blue%28x%5E4%29%2Ared%28x%5E6%29%2Agreen%28x%5E7%29\"\"%22%22=%22%22\"\"x%5E%28blue%284%29%2Bred%286%29%2Bgreen%287%29%29\" \"%22%22=%22%22\"\"x%5E17\"\r\n" );
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document.write( "Edwin
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