How do you simplify ${(- \frac{1}{5})}^{3} + {({(- \frac{1}{3})}^{2} + \frac{1}{12} (\frac{1}{6} - {(- \frac{1}{4})}^{3})}$ $(-1/5)^3 + {((-1/3)^2 + 1/12(1/6 - (-1/4)^3)}$ ?

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How do you simplify ${(- \frac{1}{5})}^{3} + {({(- \frac{1}{3})}^{2} + \frac{1}{12} (\frac{1}{6} - {(- \frac{1}{4})}^{3})}$ $(-1/5)^3 + {((-1/3)^2 + 1/12(1/6 - (-1/4)^3)}$ ?

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Answer 1 · 2016-04-18T11:03:25

$\frac{102213}{864000}$ $102213/864000$

Explanation:

$- \frac{1}{125} + {(\frac{1}{9} + \frac{1}{12} (\frac{1}{6} + \frac{1}{64})} = - \frac{1}{125} + {\frac{1}{9} + \frac{1}{12} \cdot \frac{35}{192}} = - \frac{1}{125} + {\frac{1}{9} + \frac{35}{2304}} = - \frac{1}{125} + \frac{873}{6912} = \frac{102213}{864000}$ $-1/125+{(1/9+1/12(1/6+1/64)} =-1/125+{1/9+1/12*35/192}=-1/125+{1/9+35/2304}=-1/125+873/6912=102213/864000$ [Ans]

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How do you simplify ${(- \frac{1}{5})}^{3} + {({(- \frac{1}{3})}^{2} + \frac{1}{12} (\frac{1}{6} - {(- \frac{1}{4})}^{3})}$ $(-1/5)^3 + {((-1/3)^2 + 1/12(1/6 - (-1/4)^3)}$ ?

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How do you simplify ${(- \frac{1}{5})}^{3} + {({(- \frac{1}{3})}^{2} + \frac{1}{12} (\frac{1}{6} - {(- \frac{1}{4})}^{3})}$ $(-1/5)^3 + {((-1/3)^2 + 1/12(1/6 - (-1/4)^3)}$ ?