document.write( "Question 27137: Here is the problem:\r
\n" ); document.write( "\n" ); document.write( "(5/4)to the negative 3rd power (5/4) to the negative 2nd power (5/4)to the 2nd power\r
\n" ); document.write( "\n" ); document.write( "I always thought that to get rid of a negative power, you invert. For example the first one would be (4/5) to the 3rd power, the second one would be (4/5) to the 2nd power....but what do I do with the 3rd part? It is not a negative exponent. Then you would add/subtract the exponents and the base would remain (4/5). Please help if you understand my question.\r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Patty
\n" ); document.write( "

Algebra.Com's Answer #14769 by askmemath(368)\"\" \"About 
You can put this solution on YOUR website!
There are 3 ways you can go about solving this Question. \r
\n" ); document.write( "\n" ); document.write( "The easiest way is already mentioned in your question itself and you havent even realised it!!\r
\n" ); document.write( "\n" ); document.write( "We have \"%285%2F4%29%5E%28-2%29\" and \"%285%2F4%29%5E2\"
\n" ); document.write( "Since both have the same number i.e.\"5%2F4\" all you had to do was add their exponents
\n" ); document.write( "But we know that -2 +2 = 0
\n" ); document.write( "So basically we are left with 1
\n" ); document.write( "\"%28%284%2F5%29%5E3%29%2A1\" = \"64%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "You've tried the 2nd way so let me finish that one too
\n" ); document.write( "Since you are writin everything in terms of 4/5,let's write the last term also(the one with the positive power)in terms of 4/5 as well
\n" ); document.write( "\"%284%2F5%29%5E%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%284%2F5%29%5E3%29%28%284%2F5%29%5E2%29%284%2F5%29%5E%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "Adding the exponents only now we get 3-2+2 = 3
\n" ); document.write( "or \"%284%2F5%29%5E3\" = \"64%2F25\" \r
\n" ); document.write( "\n" ); document.write( "Same as above. Yay!!
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