document.write( "Question 939942: $\"%281%2F81%29%5E%284m%2B1%29%3E%281%2F27%29%5E5%2Am\"$
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Algebra.Com's Answer #572795 by laoman(51) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%281%2F81%29%5E%284m%2B1%29%3E%281%2F27%29%5E5%2Am\"$ \r
\n" ); document.write( "\n" ); document.write( "Ok, let's simplify this using indices
\n" ); document.write( " $\"1%2F81+=+1%2F3%5E4+=+3%5E-4\"$ and $\"1%2F27=+1%2F3%5E3+=+3%5E-3\"$
\n" ); document.write( "Knowing the above, we can simplify the inequality to become
\n" ); document.write( " $\"3%5E%28-4%2A%284m%2B1%29%29+%3E+3%5E%283%2A5%2Am%29\"$
\n" ); document.write( "Since the bases on both sides are equal, let's take the inequalities of the powers alone
\n" ); document.write( "-4*(4m+1)>-3*5m
\n" ); document.write( "-16m-4>-15m
\n" ); document.write( "Let's add 16m to both sides
\n" ); document.write( "-16m+4+16m>-15m+16m
\n" ); document.write( "4>m
\n" ); document.write( "m<4 since it has been reversed \n" ); document.write( "

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