What is 1021(10^{-4})e^{-0.001(200)} ?

The solution to 1021(10^{-4})e^{-0.001(200)} is 0.08359…

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simplify 1021(10^{-4})e^{-0.001(200)}

simplify

1021 (1 0^{- 4}) e^{- 0.001 (200)}

0.08359 \dots

Solution steps

1021 (1 0^{- 4}) e^{- 0.001 (200)}

Apply exponent rule:

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

= 1021 e^{- 200 \cdot 0.001} \frac{1}{1 0 ^{4}}

Apply exponent rule:

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

= 1021 \cdot \frac{1}{1 0 ^{4}} \cdot \frac{1}{e ^{200 \cdot 0.001}}

Multiply the numbers:

0.001 \cdot 200 = 0.2

= 1021 \cdot \frac{1}{1 0 ^{4}} \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 1021}{1 0 ^{4} e ^{0.2}}

Multiply the numbers:

1 \cdot 1 \cdot 1021 = 1021

= \frac{1021}{1 0 ^{4} e ^{0.2}}

1 0^{4} = 10000

= \frac{1021}{10000 e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{1021}{10000 \cdot 1.22140 \dots}

Multiply the numbers:

10000 \cdot 1.22140 \dots = 12214.02758 \dots

= \frac{1021}{12214.02758 \dots}

Divide the numbers:

\frac{1021}{12214.02758 \dots} = 0.08359 \dots

= 0.08359 \dots

e^{- 5 x} \cdot \frac{2}{5} e^{5 x}

(e^{\frac{x ^{2}}{2}})^{2}

14.1591 \cdot 1 0^{- 5}

214 x y x

6.7 \cdot 1 0^{- 11} \cdot 3.2653

What is 1021(10^{-4})e^{-0.001(200)} ?
The solution to 1021(10^{-4})e^{-0.001(200)} is 0.08359…