document.write( "Question 1035220: (1/3)^-3 = 27^-x I do not know how to solve this. Please show me how. \n" ); document.write( "
Algebra.Com's Answer #649862 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+%281%2F3%29%5E%28-3%29+=+27%5E%28-x%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "You can use the rule:
\n" ); document.write( "\"+%28+a%5Eb+%29%2A%28+a%5E%28-b%29+%29+=+a%5E%28%28+b+-+b+%29%29+\"
\n" ); document.write( "\"+a%5E%28%28+b-b+%29%29+=+a%5E0+\"
\n" ); document.write( "\"+a%5E0+=+1+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides by \"+%281%2F3%29%5E3+\"
\n" ); document.write( "\"+%281%2F3%29%5E%28-3%29%2A%281%2F3%29%5E3+=+27%5E%28-x%29%2A%281%2F3%29%5E3+\"
\n" ); document.write( "\"+1+=+27%5E%28-x%29%2A%281%2F3%29%5E3+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Multiply both sides by \"+27%5Ex+\"
\n" ); document.write( "\"+27%5Ex+=+27%5E%28-x%29%2A27%5Ex+%2A%281%2F3%29%5E3+\"
\n" ); document.write( "\"+27%5Ex+=+1%2A%281%2F3%29%5E3+\"
\n" ); document.write( "\"+27%5Ex+=+1%2F27+\"
\n" ); document.write( "Multiply both sides by \"+27%5E1+\"
\n" ); document.write( "\"+27%5E1%2A27%5Ex+=+1+\"
\n" ); document.write( "\"+27%5E%28+x+%2B+1+%29+=+1+\"
\n" ); document.write( "\"+27%5E%28+-1+%2B+1+%29+=+1+\"
\n" ); document.write( "\"+27%5E0+=+1+\"
\n" ); document.write( "\"+1+=+1+\"
\n" ); document.write( "So, \"+x+=+-1+\"
\n" ); document.write( "---------------------
\n" ); document.write( "check the answer
\n" ); document.write( "\"+%281%2F3%29%5E%28-3%29+=+27%5E%28-x%29+\"
\n" ); document.write( "\"+%281%2F3%29%5E%28-3%29+=+27%5E%28-%28-1%29%29+\"
\n" ); document.write( "\"+%281%2F3%29%5E%28-3%29+=+27%5E1+\"
\n" ); document.write( "\"+%281%2F3%29%5E%28-3%29%2A%281%2F3%29%5E3+=+27%2A%281%2F3%29%5E3+\"
\n" ); document.write( "\"+1+=+27%2A%28+1%2F27+%29+\"
\n" ); document.write( "\"+1+=+1+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );