What is 1000(e^{-(3.5)/7}) ?

The solution to 1000(e^{-(3.5)/7}) is 606.53065…

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simplify 1000(e^{-(3.5)/7})

simplify

1000 (e^{- \frac{3.5}{7}})

606.53065 \dots

Solution steps

1000 (e^{- \frac{3.5}{7}})

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{\frac{3.5}{7}}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{\frac{3.5}{7}}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{\frac{3.5}{7}}}

e^{\frac{3.5}{7}} = 1.64872 \dots

= \frac{1000}{1.64872 \dots}

Divide the numbers:

\frac{1000}{1.64872 \dots} = 606.53065 \dots

= 606.53065 \dots

(e^{x}) (3 e^{x})

e^{- 4} \cdot \frac{4 ^{5}}{5 !}

4444 \cdot (0.4 \cdot 1 0^{- 3})

3.623 \cdot 1 0^{- 3}