What is 1000e^{-0.000002(100)} ?

The solution to 1000e^{-0.000002(100)} is 999.80001…

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simplify 1000e^{-0.000002(100)}

simplify

1000 e^{- 0.000002 (100)}

999.80001 \dots

Solution steps

1000 e^{- 0.000002 (100)}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{100 \cdot 0.000002}}

Multiply the numbers:

0.000002 \cdot 100 = 0.0002

= 1000 \cdot \frac{1}{e ^{0.0002}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{0.0002}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{0.0002}}

e^{0.0002} = 1.00020 \dots

= \frac{1000}{1.00020 \dots}

Divide the numbers:

\frac{1000}{1.00020 \dots} = 999.80001 \dots

= 999.80001 \dots

e^{- cz} sin (a x) cos (b y)

825 (3.3 \cdot 1 0^{- 3})

\frac{x - 8}{8 - x}

2.67 \cdot 1 0^{- 6}

1.27 x 1 0^{- 1}

What is 1000e^{-0.000002(100)} ?
The solution to 1000e^{-0.000002(100)} is 999.80001…