What is 0.4e^{-5000(0.005)} ?

The solution to 0.4e^{-5000(0.005)} is 5.55518E-12

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simplify 0.4e^{-5000(0.005)}

simplify

0.4 e^{- 5000 (0.005)}

5.55518 E - 12

Solution steps

0.4 e^{- 5000 (0.005)}

Apply exponent rule:

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

= 0.4 \cdot \frac{1}{e ^{5000 \cdot 0.005}}

Multiply the numbers:

5000 \cdot 0.005 = 25

= 0.4 \cdot \frac{1}{e ^{25}}

Multiply fractions:

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

= \frac{1 \cdot 0.4}{e ^{25}}

Multiply the numbers:

1 \cdot 0.4 = 0.4

= \frac{0.4}{e ^{25}}

Convert element to a decimal form

e^{25} = 72004899337.38577

= \frac{0.4}{72004899337.38577}

Divide the numbers:

\frac{0.4}{72004899337.38577} = 5.55518 E - 12

= 5.55518 E - 12

2 e^{- 6}

e^{- 0.8 (2)}

3 x e^{- 1}

6 (200 \cdot 1 0^{6}) (5.4 \cdot 1 0^{- 3})

\frac{1}{3} (e^{t} - 1)^{3} e^{- 5 t}

What is 0.4e^{-5000(0.005)} ?
The solution to 0.4e^{-5000(0.005)} is 5.55518E-12