What is e^{-(0.74*12)/(268/32)} ?

The solution to e^{-(0.74*12)/(268/32)} is 0.34635…

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simplify e^{-(0.74*12)/(268/32)}

simplify

e^{- \frac{0.74 \cdot 12}{\frac{268}{32}}}

0.34635 \dots

Solution steps

e^{- \frac{0.74 \cdot 12}{\frac{268}{32}}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{0.74 \cdot 12}{\frac{268}{32}}}}

\frac{0.74 \cdot 12}{\frac{268}{32}} = \frac{284.16}{268}

= \frac{1}{e ^{\frac{284.16}{268}}}

e^{\frac{284.16}{268}} = 2.88723 \dots

= \frac{1}{2.88723 \dots}

Divide the numbers:

\frac{1}{2.88723 \dots} = 0.34635 \dots

= 0.34635 \dots

6 x 1 0^{- 3} \frac{5.3 x 1 0 ^{3}}{1 0 ^{- 9}}

(4 y^{7}) (5 y^{4})

(4 x^{3}) (9 x)

- 0.7978 e^{- 0.01 (75)}

109 e^{- 0.3 \cdot 5}

What is e^{-(0.74*12)/(268/32)} ?
The solution to e^{-(0.74*12)/(268/32)} is 0.34635…