document.write( "Question 603719: 5^5/5^4= \n" ); document.write( "
Algebra.Com's Answer #380830 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
By definition,
\n" ); document.write( "\"5%5E5%2F5%5E4=+5%2A5%2A5%2A5%2A5%2F%285%2A5%2A5%2A5%29\"
\n" ); document.write( "and you know in multiplication of fractions and integers that
\n" ); document.write( " , so
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\n" ); document.write( "In the same way, whenever you are dividing powers of the same base number, you end up with exponents that are differences of the exponents
\n" ); document.write( "\"5%5E6%2F5%5E4=5%5E%28%286-4%29%29=5%5E2\" and the \"5%5E5%2F5%5E4=5\" that we found can be written as \"5=5%5E1=5%5E%28%285-4%29%29\"
\n" ); document.write( "\"5%5E3%2F5%5E7=1%2F5%5E%28%287-3%29%29=1%2F5%5E4\" sometimes expressed as \"5%5E-4\"
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\n" ); document.write( "IMPORTANT NOTE:
\n" ); document.write( "When you cannot write a long horizontal fraction line, you have to write some parentheses.
\n" ); document.write( "The horizontal fraction bar includes invisible brackets enclosing the expressions above and below, so
\n" ); document.write( "\"5%2A5%2A5%2A5%2A5%2F%285%2A5%2A5%2A5%29\" = (5*5*5*5*5)/(5*5*5*5)
\n" ); document.write( "In this case, you could skip the first set of brackets because
\n" ); document.write( "5*5*5*5*5/(5*5*5*5)= (5*5*5*5*5)/(5*5*5*5)=\"5%2A5%2A5%2A5%2A5%2F%285%2A5%2A5%2A5%29\"
\n" ); document.write( "However, according to rules of order of operation, doing multiplications and divisions from left to right,
\n" ); document.write( "5*5*5*5*5/5*5*5*5 means \"%285%2A5%2A5%2A5%2A5%2F5%29%2A5%2A5%2A5=5%2A5%2A5%2A5%2A5%2F5%2A5%2A5%2A5\" \n" ); document.write( "
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