What is 600\times e^{-0.3\times 2} ?

The solution to 600\times e^{-0.3\times 2} is 329.28698…

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simplify 600\times e^{-0.3\times 2}

simplify

600 \cdot e^{- 0.3 \cdot 2}

329.28698 \dots

Solution steps

600 e^{- 0.3 \cdot 2}

Apply exponent rule:

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

= 600 \cdot \frac{1}{e ^{2 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 2 = 0.6

= 600 \cdot \frac{1}{e ^{0.6}}

Multiply fractions:

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

= \frac{1 \cdot 600}{e ^{0.6}}

Multiply the numbers:

1 \cdot 600 = 600

= \frac{600}{e ^{0.6}}

e^{0.6} = 1.82211 \dots

= \frac{600}{1.82211 \dots}

Divide the numbers:

\frac{600}{1.82211 \dots} = 329.28698 \dots

= 329.28698 \dots

(10 - 7) (10 - 7)

e^{- 4.6}

t e^{- 6 t}

e^{- 500}

2.305 x 1 0^{- 7}

What is 600\times e^{-0.3\times 2} ?
The solution to 600\times e^{-0.3\times 2} is 329.28698…