What is 5e^{-0.00025(4000)}(600) ?

The solution to 5e^{-0.00025(4000)}(600) is (3000)/e

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simplify 5e^{-0.00025(4000)}(600)

simplify

5 e^{- 0.00025 (4000)} (600)

\frac{3000}{e}

Decimal Notation

1103.63832 \dots

Solution steps

5 e^{- 0.00025 (4000)} (600)

Apply exponent rule:

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

= 5 \cdot 600 \cdot \frac{1}{e ^{4000 \cdot 0.00025}}

e^{0.00025 \cdot 4000} = e

= 5 \cdot 600 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 5 \cdot 600}{e}

Multiply the numbers:

1 \cdot 5 \cdot 600 = 3000

= \frac{3000}{e}

18.05 \cdot 3.6 \cdot 1 0^{- 6}

x^{2} \cdot (1 - x^{2})^{2}

6.227 \cdot 1 0^{- 10}

x + 5 \cdot x - 2

0.0007457 \cdot 2.264 \cdot e^{- 0.0007457 \cdot 350}

What is 5e^{-0.00025(4000)}(600) ?
The solution to 5e^{-0.00025(4000)}(600) is (3000)/e