document.write( "Question 157677: how do i find the base and exponent of 117649? \n" ); document.write( "
Algebra.Com's Answer #116177 by Edwin McCravy(20086)\"\" \"About 
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document.write( "how do i find the base and exponent of 117649?\r\n" );
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document.write( "Take your calculator and start dividing 117649 by prime \r\n" );
document.write( "numbers until you find one that gives you a whole number:\r\n" );
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document.write( "Try 117649÷2.  That gives 58824.5, not a whole number.\r\n" );
document.write( "Try 117649÷3.  That gives 39216.33333, not a whole number.\r\n" );
document.write( "Try 117649÷5.  That gives 23529.8, not a whole number.\r\n" );
document.write( "Try 117649÷7.  That gives 16807, which IS a whole number.\r\n" );
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document.write( "So 117649 = 7×16807\r\n" );
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document.write( "Try 16807÷7. That gives 2401, which IS a whole number.\r\n" );
document.write( "So 117649 = 7×7×2401\r\n" );
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document.write( "Try 2401÷7. That gives 343, which IS a whole number.\r\n" );
document.write( "So 117649 = 7×7×7×343.\r\n" );
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document.write( "Try 343÷7. That gives 49, which IS a whole number.\r\n" );
document.write( "So 117649 = 7×7×7×7×49.\r\n" );
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document.write( "And everybody knows that 49 = 7×7, so\r\n" );
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document.write( "117649 = 7×7×7×7×7×7\r\n" );
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document.write( "And that means\r\n" );
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document.write( "117649 = 7×7×7×7×7×7 = 76.\r\n" );
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document.write( "Therefore the base is 7 and the exponent is 6.\r\n" );
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document.write( "Edwin
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