document.write( "Question 183050This question is from textbook Algebra 2
\n" ); document.write( ": evaluate 5^2 over 5^5 \n" ); document.write( "
Algebra.Com's Answer #137425 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Here's the long way to do it:\r
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\n" ); document.write( "\n" ); document.write( "\"%285%5E2%29%2F%285%5E5%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2A5%29%2F%285%5E5%29\" Expand \"5%5E2\" to get \"5%5E2=5%2A5\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2A5%29%2F%285%2A5%2A5%2A5%2A5%29\" Expand \"5%5E5\" to get \"5%5E5=5%2A5%2A5%2A5%2A5\" (note: there are five 5's)\r
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\n" ); document.write( "\n" ); document.write( " Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28cross%285%29%2Across%285%29%29%2F%28cross%285%29%2Across%285%29%2A5%2A5%2A5%29\" Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%285%2A5%2A5%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F125\" Multiply \"5%2A5%2A5\" to get \"5%2A5%2A5=5%2A%285%2A5%29=5%2A25=125\" \r
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\n" ); document.write( "\n" ); document.write( "So \"%285%5E2%29%2F%285%5E5%29=1%2F125\"\r
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\n" ); document.write( "\n" ); document.write( "Here's the short way to do it:\r
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\n" ); document.write( "\n" ); document.write( "\"%285%5E2%29%2F%285%5E5%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"5%5E%282-5%29\" Divide the terms by subtracting the exponents.\r
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\n" ); document.write( "\n" ); document.write( "\"5%5E%28-3%29\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%285%5E3%29\" Flip the base to make the exponent positive.\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%285%2A5%2A5%29\" Expand \"5%5E3\" to get \"5%5E3=5%2A5%2A5\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F125\" Multiply \"5%2A5%2A5\" to get \"5%2A5%2A5=5%2A%285%2A5%29=5%2A25=125\" \r
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\n" ); document.write( "\n" ); document.write( "So \"%285%5E2%29%2F%285%5E5%29=1%2F125\"
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