What is 2(11/126+2/18-1/(sqrt(81)))(5/14+1)^{-1} ?

The solution to 2(11/126+2/18-1/(sqrt(81)))(5/14+1)^{-1} is 22/171

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simplify 2(11/126+2/18-1/(sqrt(81)))(5/14+1)^{-1}

simplify

2 (\frac{11}{126} + \frac{2}{18} - \frac{1}{81}) (\frac{5}{14} + 1)^{- 1}

\frac{22}{171}

Decimal Notation

0.12865 \dots

Solution steps

2 (\frac{11}{126} + \frac{2}{18} - \frac{1}{81}) (\frac{5}{14} + 1)^{- 1}

\frac{11}{126} + \frac{2}{18} - \frac{1}{81} = \frac{11}{126}

= 2 \cdot \frac{11}{126} (\frac{5}{14} + 1)^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(\frac{5}{14} + 1)^{- 1} = \frac{1}{\frac{5}{14} + 1}

= 2 \cdot \frac{11}{126} \cdot \frac{1}{\frac{5}{14} + 1}

\frac{1}{\frac{5}{14} + 1} = \frac{14}{19}

= 2 \cdot \frac{11}{126} \cdot \frac{14}{19}

2 \cdot \frac{11}{126} \cdot \frac{14}{19} = \frac{22}{171}

= \frac{22}{171}

(2 x^{2} y^{2}) (5 x y^{3})

(10 y) (2 y^{3})

e^{- \frac{2}{1}}

4 y^{3} \cdot (- 2) x^{5} \cdot 3 y^{2} \cdot (- 2) x^{4}

What is 2(11/126+2/18-1/(sqrt(81)))(5/14+1)^{-1} ?
The solution to 2(11/126+2/18-1/(sqrt(81)))(5/14+1)^{-1} is 22/171