document.write( "Question 955755: what does this mean (1*.01)^36 = 1E-72 \n" ); document.write( "
Algebra.Com's Answer #583871 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the laws of exponents state:\r
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\n" ); document.write( "\n" ); document.write( "\"x%5Ea+%2A+x%5Eb+=+x%5E%28a%2Bb%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5Ea%29%5Eb+=+x%5E%28a%2Ab%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5Ea%2Ay%5Eb%29%5Ec+=+x%5E%28ac%29+%2A+y%5E%28bc%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E%28-a%29+=+1%2Fx%5Ea\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5Ea+=+1%2Fx%5E%28-a%29\"\r
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\n" ); document.write( "\n" ); document.write( "your equation states:\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2A.01%29%5E36+=+1E-72\"\r
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\n" ); document.write( "\n" ); document.write( "since (1 * .01) is the same as (.01), your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"%28.01%29%5E36+=+1E-72\"\r
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\n" ); document.write( "\n" ); document.write( "1E-72 is the same as 1 * 10^(-72)\r
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\n" ); document.write( "\n" ); document.write( "that's what it means.\r
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\n" ); document.write( "\n" ); document.write( "your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"%28.01%29%5E36+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( ".01 is the same as 1/100 which is the same as 1/10^2 which is the same as 1 * 10^(-2).\r
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\n" ); document.write( "\n" ); document.write( "your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"%281+%2A+10%5E%28-2%29%29%5E36+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( "since \"%281+%2A+10%5E%28-2%29%29%5E36\" is equivalent to \"1%5E36+%2A+%2810%5E%28-2%29%29%5E36\", your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"1%5E36+%2A+%2810%5E%28-2%29%29%5E36+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( "since 1^36 is equal to 1, your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2A+%2810%5E%28-2%29%29%5E36+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( "since \"%2810%5E%28-2%29%29%5E36\" is equal to \"10%5E%28-2%2A36%29\", your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2A+10%5E%28-2%2A36%29+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( "since \"10%5E%28-2%2A36%29\" is equal to \"10%5E%28-72%29\", your equation becomes:\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2A+10%5E%28-72%29+=+1+%2A+10%5E%28-72%29\"\r
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\n" ); document.write( "\n" ); document.write( "the equation is true because the left side is equal to the right side.\r
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\n" ); document.write( "\n" ); document.write( "you have proven that:\r
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\n" ); document.write( "\n" ); document.write( "(1*.01)^36 = 1E-72\r
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