What is 0.1*e^{-0.1*3} ?

The solution to 0.1*e^{-0.1*3} is 0.07408…

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Popular >

simplify 0.1e^{-0.13}

simplify

0.1 \cdot e^{- 0.1 \cdot 3}

0.07408 \dots

Solution steps

0.1 e^{- 0.1 \cdot 3}

Apply exponent rule:

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

= 0.1 \cdot \frac{1}{e ^{3 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 3 = 0.3

= 0.1 \cdot \frac{1}{e ^{0.3}}

Multiply fractions:

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

= \frac{1 \cdot 0.1}{e ^{0.3}}

Multiply the numbers:

1 \cdot 0.1 = 0.1

= \frac{0.1}{e ^{0.3}}

e^{0.3} = 1.34985 \dots

= \frac{0.1}{1.34985 \dots}

Divide the numbers:

\frac{0.1}{1.34985 \dots} = 0.07408 \dots

= 0.07408 \dots

\frac{m + 1}{m - 1}

2 x y

2.68 \cdot 1 0^{- 21}

(7 t^{3}) (3 t^{3})

760 (e^{- 5820.2})