# SOLUTION: Perform the indicated operations (-1/5)3 + {(-1/3)2 + 1/12(1/6 - (-1/4)3)}

Algebra ->  Algebra  -> Expressions -> SOLUTION: Perform the indicated operations (-1/5)3 + {(-1/3)2 + 1/12(1/6 - (-1/4)3)}      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Evaluation of expressions, parentheses Solvers Lessons Answers archive Quiz In Depth

 Question 72906: Perform the indicated operations (-1/5)3 + {(-1/3)2 + 1/12(1/6 - (-1/4)3)}Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!Perform the indicated operations (-1/5)3 + {(-1/3)2 + 1/12(1/6 - (-1/4)3)} Ok. We will start getting rid of the parens and we start with the innermost parens/brackets first: Start with -(-1/4)3 and we get (-1/5)3 + {(-1/3)2 + 1/12(1/6 +3/4)} Next, we'll add (1/6+3/4) or (2/12+9/12)=11/12 so we now have (-1/5)3 + {(-1/3)2 + 1/12(11/12)} Now, we will multiply +1/12(11/12)=11/144 so: (-1/5)3 + {(-1/3)2 + 11/144} Next, (-1/3)2=-2/3 (-1/5)3 + {-2/3 + 11/144} Now, we'll do (-1/5)3=-3/5 -3/5 + {-2/3 + 11/144} Next, add -2/3+11/144=-96/144+11/144=-85/144 -3/5-85/144 Finally, we will add -3/5-85/144 First, multiply each term by 720/720 to get a common denominator (-3/5)(720/720)=-432/720 and (-85/144)(720/720)=-425/720 so -432/720-425/720=-857/720 or 1.1903--------------------answer Hope this helps-------ptaylor