document.write( "Question 189523This question is from textbook Algebra 2
\n" ); document.write( ": Will you please help me solve (1/3) to the m power is equal to 27 to the m+2 power? \n" ); document.write( "
Algebra.Com's Answer #142197 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%281%2F3%29%5Em=%2827%29%5E%28m%2B2%29\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283%5E%28-1%29%29%5Em=%2827%29%5E%28m%2B2%29\" Rewrite \"1%2F3\" as \"3%5E%28-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%283%5E%28-1%29%29%5Em=%283%5E3%29%5E%28m%2B2%29\" Rewrite \"27\" as \"3%5E3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%5E%28-m%29=3%5E%283%28m%2B2%29%29\" Multiply the exponents.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-m=3%28m%2B2%29\" Since the bases are equal, the exponents are equal.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-m=3m%2B6\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-m-3m=6\" Subtract \"3m\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-4m=6\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m=%286%29%2F%28-4%29\" Divide both sides by \"-4\" to isolate \"m\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m=-3%2F2\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer is \"m=-3%2F2\" which in decimal form is \"m=-1.5\". \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );