document.write( "Question 992257: Without using a calculator which is larger: x= 7^1/4 or y=4^1/3
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Algebra.Com's Answer #611915 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Which is larger? (without using a calculator)\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C7%5E%281%2F4%29%29\"\"%22%3F%22\"\"matrix%282%2C1%2C%22%22%2C4%5E%281%2F3%29%29\"\r\n" );
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document.write( "Rewrite the exponents with a common denominator\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C7%5E%283%2F12%29%29\"\"%22%3F%22\"\"matrix%282%2C1%2C%22%22%2C4%5E%284%2F12%29%29\"\r\n" );
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document.write( "Get them with a common fraction exponent:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C%287%5E3%29%5E%281%2F12%29%29\"\"%22%3F%22\"\"matrix%282%2C1%2C%22%22%2C%284%5E4%29%5E%281%2F12%29%29\"\r\n" );
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document.write( "Evaluate the bases without a calculator:\r\n" );
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document.write( "\"7%5E3=7%2A7%2A7=49%2A7=343\", \"4%5E4=4%2A4%2A4%2A4=16%2A16=256\" \r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C343%5E%281%2F12%29%29\"\"%22%3F%22\"\"matrix%282%2C1%2C%22%22%2C256%5E%281%2F12%29%29\"\r\n" );
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document.write( "And since 343 > 256\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C343%5E%281%2F12%29%29%29\"\"%22%22%3E%22%22\"\"matrix%282%2C1%2C%22%22%2C256%5E%281%2F12%29%29%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2C7%5E%281%2F4%29%29\"\"%22%22%3E%22%22\"\"matrix%282%2C1%2C%22%22%2C4%5E%281%2F3%29%29\"\r\n" );
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document.write( "Edwin
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