document.write( "Question 187160: (2/5)^x = 25/4 \n" ); document.write( "
Algebra.Com's Answer #140289 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"%282%2F5%29%5Ex+=+25%2F4\"
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document.write( "Since \"25\" can be written as \"5%5E2\"\r\n" );
document.write( "and \"4\" can be written as \"2%5E2\",\r\n" );
document.write( "then \"25%2F4\" can be written as \"%285%2F2%29%5E2\"\r\n" );
document.write( "Then we can flip the fraction inside the \r\n" );
document.write( "parentheses and change the sign of the exponent\r\n" );
document.write( "and so altogether \"25%2F4=%285%2F2%29%5E2=%282%2F5%29%5E%28-2%29\".\r\n" );
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document.write( "So now we have\r\n" );
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document.write( "\"%282%2F5%29%5Ex+=+%282%2F5%29%5E%28-2%29\"\r\n" );
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document.write( "Now we can equate the exponents since the bases\r\n" );
document.write( "are the same and positive and \"%22%22%3C%3E1\"\r\n" );
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document.write( "\"x=-2\"\r\n" );
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document.write( "Edwin
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