document.write( "Question 88345: I tried, actually I have no idea how to solve this problem. Please help me solve this problem:\r
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\n" ); document.write( "Simplify.\r
\n" ); document.write( "\n" ); document.write( "#23. \"5%5E%283n%2B6%29=%285%5E%282n%29%29%285%5E%284n-6%29%29\"\r
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Algebra.Com's Answer #64165 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve for n:
\n" ); document.write( "\"5%5E%283n%2B6%29+=+%285%5E%282n%29%29%285%5E%284n-6%29%29\" On the right side side, apply the rule of exponents:\"%28a%5En%29%28a%5Em%29+=+a%5E%28n%2Bm%29\"
\n" ); document.write( "\"5%5E%283n%2B6%29+=+5%5E%282n%2B4n-6%29\" Simplify.
\n" ); document.write( "\"5%5E%283n%2B6%29+=+5%5E%286n-6%29\" Apply the rule: If\"a%5En+=+a%5Em\" then: \"n+=+m\"for any positive a not = 1
\n" ); document.write( "\"3n%2B6+=+6n-6\" Subtract 3n from both sides.
\n" ); document.write( "\"6+=+3n-6\" Add 6 to both sides.
\n" ); document.write( "\"12+=+3n\" Divide both sides by 3.
\n" ); document.write( "\"n+=+4\"
\n" ); document.write( "Check by substituting n = 4 into the original equation.
\n" ); document.write( "\"5%5E%283%284%29%2B6%29+=+%285%5E%282%284%29%29%29%285%5E%284%284%29-6%29%29\" Simplify.
\n" ); document.write( "\"5%5E18+=+%285%5E8%29%285%5E10%29\"
\n" ); document.write( "\"5%5E18+=+5%5E18\"
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