document.write( "Question 1154462: (8x^(1/2)y^3)^(1/3)•(25xy^(1/2))^(1/2) \n" ); document.write( "
Algebra.Com's Answer #776900 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%288x%5E%281%2F2%29y%5E3%29%5E%281%2F3%29%2A%2825xy%5E%281%2F2%29%29%5E%281%2F2%29\"\r\n" );
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document.write( "Put in all the invisible multiplication symbols:\r\n" );
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document.write( "Put in all invisible 1-exponents, to the 8, the 25 and the x:\r\n" );
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document.write( "Remove the parentheses by distributing the exponents:\r\n" );
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document.write( "Add the exponents of the x's and of the y's:\r\n" );
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document.write( "Since\r\n" );
document.write( "      \"matrix%282%2C1%2C%22%22%2C8%5E%281%2F3%29=root%283%2C8%29=2%29\"\r\n" );
document.write( "and \r\n" );
document.write( "      \"matrix%282%2C1%2C%22%22%2C25%5E%281%2F2%29=sqrt%2825%29=5%29\"\r\n" );
document.write( ",\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C2%2Ax%5E%282%2F3%29%2Ay%5E%285%2F4%29%2A5%29\"\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C10%2Ax%5E%282%2F3%29%2Ay%5E%285%2F4%29%29\"\r\n" );
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document.write( "If your teacher wanted you to stop with fractional exponents, then\r\n" );
document.write( "the above would be the final answer.  However, if your teacher\r\n" );
document.write( "wanted your answer to be expressed with roots, then continue:\r\n" );
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document.write( "Express the fractional exponents with the same LCD:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C10%2Ax%5E%288%2F12%29%2Ay%5E%2815%2F12%29%29\"\r\n" );
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document.write( "Since\r\n" );
document.write( "      \"matrix%282%2C1%2C%22%22%2Cx%5E%288%2F12%29=root%2812%2Cx%5E8%29%29\"\r\n" );
document.write( "and \r\n" );
document.write( "      \"matrix%282%2C1%2C%22%22%2Cy%5E%2815%2F12%29=root%2812%2Cy%5E15%29%29\"\r\n" );
document.write( "      \r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2C10%2Aroot%2812%2Cx%5E8%29%2Aroot%2812%2Cy%5E15%29%29\"\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C10%2Aroot%2812%2Cx%5E8%2Ay%5E15%29%29\"\r\n" );
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document.write( "Edwin
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