What is 3e^{-0.4(10)} ?

The solution to 3e^{-0.4(10)} is 3/(e^4)

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simplify 3e^{-0.4(10)}

simplify

3 e^{- 0.4 (10)}

\frac{3}{e ^{4}}

Decimal Notation

0.05494 \dots

Solution steps

3 e^{- 0.4 (10)}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{10 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 10 = 4

= 3 \cdot \frac{1}{e ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{4}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{4}}

- 10000 \cdot e^{- 10000}

9.25 \cdot 1 0^{- 5}

0.9 x 1 0^{- 1}

1.60218 \cdot 1 0^{- 19} \cdot 2

1.60218 \cdot 1 0^{- 19} \cdot 5