document.write( "Question 43468: Can someone please help me on this one?\r
\n" ); document.write( "\n" ); document.write( "I have to simplify. \r
\n" ); document.write( "\n" ); document.write( "(-8)^-4/3\r
\n" ); document.write( "\n" ); document.write( "The 8 is to the -4/3 power. Does that make sense?\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #28462 by aaaaaaaa(138)\"\" \"About 
You can put this solution on YOUR website!
The negative exponents follow a simple rule, that is:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E%28-n%29+=+1%2F%28x%5En%29\"\r
\n" ); document.write( "\n" ); document.write( "Therefore \"-8%5E%28-4%2F3%29\" can be simplified to \"1%2F%28-8%5E%284%2F3%29%29\".\r
\n" ); document.write( "\n" ); document.write( "I'm pretty sure that didn't help out much, but a definition on fractional exponents is probably going to clear things up. Remember this property:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E%28p%2Fq%29+=+%28root%28q%2C+x%29%29%5Ep\"\r
\n" ); document.write( "\n" ); document.write( "Therefore, we can simplify to \"1%2F%28root%283%2C+8%29%29%5E4%29%29\". As we know, \"root%283%2C+8%29+=+2\", so our answer is simplified to \"1%2F%282%5E4%29\". \"2%5E4+=+16\", so here is your answer: \"1%2F16\"
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