What is e^{-0.054*30}*100 ?

The solution to e^{-0.054*30}*100 is 19.78986…

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simplify e^{-0.05430}100

simplify

e^{- 0.054 \cdot 30} \cdot 100

19.78986 \dots

Solution steps

e^{- 0.054 \cdot 30} \cdot 100

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{30 \cdot 0.054}}

Multiply the numbers:

0.054 \cdot 30 = 1.62

= 100 \cdot \frac{1}{e ^{1.62}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{1.62}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{1.62}}

e^{1.62} = 5.05309 \dots

= \frac{100}{5.05309 \dots}

Divide the numbers:

\frac{100}{5.05309 \dots} = 19.78986 \dots

= 19.78986 \dots

10700 \cdot 9.09 (1 0^{- 3})

5.43 \cdot 1 0^{- 3}

2.93 e^{(- 1.8 (4))}

e^{- xx} x

2.15 \cdot 1 0^{- 3}