What is e^{-[(62.28*1.6)/(0.1768*1909)]} ?

The solution to e^{-[(62.28*1.6)/(0.1768*1909)]} is 0.74435…

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simplify e^{-[(62.281.6)/(0.17681909)]}

simplify

e^{- [\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909}]}

0.74435 \dots

Solution steps

e^{- [\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909}]}

Apply exponent rule:

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

= \frac{1}{e ^{[\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909}]}}

Remove parentheses:

(a) = a

= \frac{1}{e ^{\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909}}}

\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909} = \frac{99.648}{337.5112}

= \frac{1}{e ^{\frac{99.648}{337.5112}}}

e^{\frac{99.648}{337.5112}} = 1.34345 \dots

= \frac{1}{1.34345 \dots}

Divide the numbers:

\frac{1}{1.34345 \dots} = 0.74435 \dots

= 0.74435 \dots

0.00000239 \cdot 1 0^{- 3}

50 \cdot 10 \cdot 1 0^{- 4} \cdot 2 \cdot π

(32.1 \cdot 1 0^{3}) e^{- 2 \cdot (2.78 \cdot 1 0^{- 7}) \cdot 10}

(14 x) (15 x^{2})

(ab)^{\frac{1}{3}}

What is e^{-[(62.28*1.6)/(0.1768*1909)]} ?
The solution to e^{-[(62.28*1.6)/(0.1768*1909)]} is 0.74435…