document.write( "Question 72989: Perform the indicated operations\r
\n" ); document.write( "\n" ); document.write( "(-1/5)power of 3 {(-1/3)power of 2 + 1/12(1/6 - (-1/4)power of 3)} \n" ); document.write( "

Algebra.Com's Answer #52254 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28-1%2F5%29%5E3%28%28-1%2F3%29%5E2+%2B+%281%2F12%29%2A%281%2F6+-+%28-1%2F4%29%5E3%29%29\"$ Start with given expression
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Distribute the exponents to both numerators and denominators with exponents
\n" ); document.write( "Any negative number raised to a odd power will have a negative sign (ie $\"%28-1%29%5E3=-1\"$ ) and any negative number raised to a even power will have a positive sign ie ( $\"%28-1%29%5E4=1\"$ ).
\n" ); document.write( " $\"%28%28-1%29%2F125%29%28%281%2F9%29+%2B+%281%2F12%29%2A%281%2F6+-+%28%28-1%29%2F64%29%29%29\"$ Simplify the exponents
\n" ); document.write( " $\"%28%28-1%29%2F125%29%281%2F9+%2B+1%2F72+%2B+1%2F768%29%29\"$ Distribute the 1/12
\n" ); document.write( " $\"%28%28-1%29%2F125%29%28%28256%2B32%2B3%29%2F2304%29%29\"$ Add the values in the parenthesis (I found the LCD of 2304 and added the corresponding numerators)
\n" ); document.write( " $\"%28%28-1%29%2F125%29%28%28291%29%2F2304%29%29\"$ Multiply the fractions
\n" ); document.write( " $\"%28%28-291%29%2F288000%29%29\"$ Simplify
\n" ); document.write( " $\"-97%2F96000=-0.00101041666\"$ Approximately note: the last group of 6's repeat forever.
\n" ); document.write( "Hope that helps. I know there are a lot of steps that I glossed over (I'm assuming you have adequate knowledge of order of operations, exponents, fractions, etc.), so ask about any step I explained. \n" ); document.write( "

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