What is 4e^{-0.0004(810)} ?

The solution to 4e^{-0.0004(810)} is 2.89300…

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simplify 4e^{-0.0004(810)}

simplify

4 e^{- 0.0004 (810)}

2.89300 \dots

Solution steps

4 e^{- 0.0004 (810)}

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{810 \cdot 0.0004}}

Multiply the numbers:

0.0004 \cdot 810 = 0.324

= 4 \cdot \frac{1}{e ^{0.324}}

Multiply fractions:

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

= \frac{1 \cdot 4}{e ^{0.324}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{e ^{0.324}}

e^{0.324} = 1.38264 \dots

= \frac{4}{1.38264 \dots}

Divide the numbers:

\frac{4}{1.38264 \dots} = 2.89300 \dots

= 2.89300 \dots

(3^{-})^{- 1}

e^{t - 3} e^{- s t}

\frac{( k + 1 ) ^{4}}{k ^{4}}

(e^{2 x} - 4) (e^{2 x} - 4)

5.303 \cdot 1 0^{- 5}