What is 1000e^{-100(20*10^{-3})} ?

The solution to 1000e^{-100(20*10^{-3})} is (1000)/(e^2)

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simplify 1000e^{-100(20*10^{-3})}

simplify

1000 e^{- 100 (20 \cdot 1 0^{- 3})}

\frac{1000}{e ^{2}}

Decimal Notation

135.33528 \dots

Solution steps

1000 e^{- 100 (20 \cdot 1 0^{- 3})}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{1 0^{- 3} \cdot 100 \cdot 20}}

\frac{1}{e ^{100 \cdot 20 \cdot 1 0^{- 3}}} = \frac{1}{e ^{2}}

= 1000 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{2}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{2}}

x^{2} e^{-, x}

279000000 \cdot 8 0^{- 2.633}

\frac{e ^{x}}{e ^{3}}

25 e^{- 0.03 (23)}

(1.392 x 1 0^{27}) (8.7 x 1 0^{- 11})

What is 1000e^{-100(20*10^{-3})} ?
The solution to 1000e^{-100(20*10^{-3})} is (1000)/(e^2)