What is 109.1*e^{-0.0433*16} ?

The solution to 109.1*e^{-0.0433*16} is 54.56894…

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simplify 109.1e^{-0.043316}

simplify

109.1 \cdot e^{- 0.0433 \cdot 16}

54.56894 \dots

Solution steps

109.1 e^{- 0.0433 \cdot 16}

Apply exponent rule:

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

= 109.1 \cdot \frac{1}{e ^{16 \cdot 0.0433}}

Multiply the numbers:

0.0433 \cdot 16 = 0.6928

= 109.1 \cdot \frac{1}{e ^{0.6928}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 109.1}{e ^{0.6928}}

Multiply the numbers:

1 \cdot 109.1 = 109.1

= \frac{109.1}{e ^{0.6928}}

e^{0.6928} = 1.99930 \dots

= \frac{109.1}{1.99930 \dots}

Divide the numbers:

\frac{109.1}{1.99930 \dots} = 54.56894 \dots

= 54.56894 \dots

(2 \cdot 1 0^{- 7}) (34) (\frac{26.76 \cdot 1 0 ^{- 3}}{0.02})

e^{- 2.5 \cdot 1 0^{- 5} \cdot 5000} \cdot 2000

1 \cdot ((7)^{- 0.3}) \cdot 0.4

(6.63 \cdot 1 0^{- 34}) (4.49 \cdot 1 0^{14})

2.15 \cdot 1 0^{- 2} \cdot 1.2 \cdot 125

What is 109.1*e^{-0.0433*16} ?
The solution to 109.1*e^{-0.0433*16} is 54.56894…