What is simplify-0.002e^{-0.002(50)} ?

The solution to simplify-0.002e^{-0.002(50)} is -0.00180…

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simplify-0.002e^{-0.002(50)}

simplify

- 0.002 e^{- 0.002 (50)}

- 0.00180 \dots

Solution steps

- 0.002 e^{- 0.002 (50)}

Apply exponent rule:

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

= - 0.002 \cdot \frac{1}{e ^{50 \cdot 0.002}}

Multiply the numbers:

0.002 \cdot 50 = 0.1

= - 0.002 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= - \frac{1 \cdot 0.002}{e ^{0.1}}

Multiply the numbers:

1 \cdot 0.002 = 0.002

= - \frac{0.002}{e ^{0.1}}

Simplify

\frac{0.002}{e ^{0.1}} : 0.00180 \dots

= - 0.00180 \dots

1.225 \cdot 1 0^{- 4}

(2 x)^{4}

5.04 \cdot 1 0^{- 3}

a^{2} (a + 2)^{2}

What is simplify-0.002e^{-0.002(50)} ?
The solution to simplify-0.002e^{-0.002(50)} is -0.00180…