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\(3\cdot\left(\frac{-1}{3}\right)^3+\frac{1}{3}=3\cdot\left(-\frac{1}{27}\right)+\frac{1}{3}\)
\(=-\frac{1}{9}+\frac{1}{3}\)
\(=-\frac{1}{9}+\frac{3}{9}\)
\(=\frac{2}{9}\)
\(\left(-2\right)^3+\frac{1}{2}:\frac{1}{8}-\sqrt{25}=\left|-13\right|\)
\(=-8+\frac{1}{2}.8-5+13\)
\(=4\)
\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}}+\left(-\frac{2012}{2013}\right)^0\)
\(=\frac{1}{2}.10-\frac{1}{4}+1\)
\(=5-\frac{5}{4}\)
\(=\frac{15}{4}\)
\(\left(-2\right)^3+\frac{1}{2}:\frac{1}{8}-\sqrt{25}+|-13|\)
\(=-12+\frac{1}{2}.8-5+13\)
\(=-12+4-5+13\)
\(=4\)
\(\frac{x^2}{2}+\frac{x^2}{3}+\frac{x^2}{4}\)
\(=\frac{6x^2}{12}+\frac{4x^2}{12}+\frac{3x^2}{12}\)
\(=\frac{6x^2+4x^2+3x^2}{12}\)
\(=\frac{13x^2}{12}\)
\(\frac{x^2}{2}+\frac{x^2}{3}+\frac{x^2}{4}\)
\(=x^2.\frac{1}{2}+x^2.\frac{1}{3}+x^2.\frac{1}{4}\)
\(=x^2.\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\)
\(=x^2.\frac{13}{12}\)
\(\frac{7}{9}\)\(\times\)\(\sqrt{324}\)\(+\)\(\frac{1}{3}\)\(\times\)\(\sqrt{81}\)\(+\)\(\left(2014\right)^o\)\(-\)\(\left|-16\right|\)
\(=\)\(\frac{7}{9}\)\(\times\)18 + \(\frac{1}{3}\)\(\times\)9 + (2014)\(^0\)- |-16|
\(=\)14 + 3 + 1 - 16
\(=\)2
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