What is [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1} ?

The solution to [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1} is 24643/5911643

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simplify [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1}

simplify

[1 + \frac{0.5}{0.95} \frac{0.11774}{0.0002594}]^{- 1}

\frac{24643}{5911643}

Decimal Notation

0.00416 \dots

Solution steps

(1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594})^{- 1}

Apply exponent rule:

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

(1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594})^{- 1} = \frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}}

= \frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}}

\frac{1}{1 + \frac{0.5}{0.95} \cdot \frac{0.11774}{0.0002594}} = \frac{0.00024643}{0.05911643}

= \frac{0.00024643}{0.05911643}

\frac{0.00024643}{0.05911643} = \frac{24643}{5911643}

= \frac{24643}{5911643}

(\frac{x}{y})^{- 1}

\frac{( x y ^{2} z ^{3} ) ^{4}}{( x ^{2} y ^{2} z ) ^{3}}

2 x^{2} + 4 x + 3 < 0

x = 2 x^{2}

What is [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1} ?
The solution to [1+(0.5)/(0.95)(0.11774)/(0.0002594)]^{-1} is 24643/5911643