What is simplify-0.984*e^{-0.0123*2} ?

The solution to simplify-0.984*e^{-0.0123*2} is -0.96008…

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simplify-0.984e^{-0.01232}

simplify

- 0.984 \cdot e^{- 0.0123 \cdot 2}

- 0.96008 \dots

Solution steps

- 0.984 e^{- 0.0123 \cdot 2}

Apply exponent rule:

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

= - 0.984 \cdot \frac{1}{e ^{2 \cdot 0.0123}}

Multiply the numbers:

0.0123 \cdot 2 = 0.0246

= - 0.984 \cdot \frac{1}{e ^{0.0246}}

Multiply fractions:

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

= - \frac{1 \cdot 0.984}{e ^{0.0246}}

Multiply the numbers:

1 \cdot 0.984 = 0.984

= - \frac{0.984}{e ^{0.0246}}

Simplify

\frac{0.984}{e ^{0.0246}} : 0.96008 \dots

= - 0.96008 \dots

- 200 (- 0.002) e^{- 200 (0.005)}

e^{y} e^{x}

6.5 \cdot 1 0^{- 4}

(\frac{0.72}{2 π})^{2} \cdot 3.64 \cdot 1 0^{- 3}

3 2^{2} \cdot 2

What is simplify-0.984*e^{-0.0123*2} ?
The solution to simplify-0.984*e^{-0.0123*2} is -0.96008…