What is simplify-200(-1/500)e^{-200(0.005)} ?

The solution to simplify-200(-1/500)e^{-200(0.005)} is 2/(5e)

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simplify-200(-1/500)e^{-200(0.005)}

simplify

- 200 (- \frac{1}{500}) e^{- 200 (0.005)}

\frac{2}{5 e}

Decimal Notation

0.14715 \dots

Solution steps

- 200 (- \frac{1}{500}) e^{- 200 (0.005)}

Apply exponent rule:

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

= - 200 (- \frac{1}{500}) \frac{1}{e ^{200 \cdot 0.005}}

Apply rule

- (- a) = a

= 200 \cdot \frac{1}{500} \cdot \frac{1}{e ^{200 \cdot 0.005}}

e^{200 \cdot 0.005} = e

= 200 \cdot \frac{1}{e} \cdot \frac{1}{500}

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 200}{500 e}

Multiply the numbers:

1 \cdot 1 \cdot 200 = 200

= \frac{200}{500 e}

Cancel the common factor:

100

= \frac{2}{5 e}

(2 x - 3)^{2} (2 x + 3)^{2}

1.25 \cdot 1 0^{- 9}

(x^{3} + 4) ((4 + x^{3})^{2} y^{2})

e^{- 5 l n (y)}

What is simplify-200(-1/500)e^{-200(0.005)} ?
The solution to simplify-200(-1/500)e^{-200(0.005)} is 2/(5e)