What is 1.4*1.1*(1885/331)*1.46*10^{-5} ?

The solution to 1.4*1.1*(1885/331)*1.46*10^{-5} is 2119117/16550000000

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simplify 1.41.1(1885/331)1.4610^{-5}

simplify

1.4 \cdot 1.1 \cdot (\frac{1885}{331}) \cdot 1.46 \cdot 1 0^{- 5}

\frac{2119117}{16550000000}

Decimal Notation

0.00012 \dots

Solution steps

1.4 \cdot 1.1 (\frac{1885}{331}) \cdot 1.46 \cdot 1 0^{- 5}

1.4 = \frac{7}{5}

= \frac{7}{5} \cdot 1.1 \cdot \frac{1885}{331} \cdot 1.46 \cdot 1 0^{- 5}

1.1 = \frac{11}{10}

= \frac{7}{5} \cdot \frac{11}{10} \cdot \frac{1885}{331} \cdot 1.46 \cdot 1 0^{- 5}

1.46 = \frac{73}{50}

= \frac{7}{5} \cdot \frac{11}{10} \cdot \frac{1885}{331} \cdot \frac{73}{50} \cdot 1 0^{- 5}

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{7}{5} \cdot \frac{11}{10} \cdot \frac{1885}{331} \cdot \frac{73}{50} \cdot \frac{1}{1 0 ^{5}}

1 0^{5} = 100000

= \frac{7}{5} \cdot \frac{11}{10} \cdot \frac{1885}{331} \cdot \frac{73}{50} \cdot \frac{1}{100000}

\frac{7}{5} \cdot \frac{11}{10} \cdot \frac{1885}{331} \cdot \frac{73}{50} \cdot \frac{1}{100000} = \frac{2119117}{16550000000}

= \frac{2119117}{16550000000}

(2 x - 1) \cdot e^{- x}

e^{t} (cos (t) - sin (t)) \cdot 2 e^{t} cos (t)

(0.08 \cdot 5) (0.008 \cdot 5^{2} + 1)^{2} \cdot 5

(3.98 \cdot 1 0^{- 8}) \cdot \frac{1}{5.6}

6.421 \cdot 1 0^{- 5}

What is 1.4*1.1*(1885/331)*1.46*10^{-5} ?
The solution to 1.4*1.1*(1885/331)*1.46*10^{-5} is 2119117/16550000000