What is 1000e^{-0.02(50)}*50 ?

The solution to 1000e^{-0.02(50)}*50 is (50000)/e

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simplify 1000e^{-0.02(50)}*50

simplify

1000 e^{- 0.02 (50)} \cdot 50

\frac{50000}{e}

Decimal Notation

18393.97205 \dots

Solution steps

1000 e^{- 0.02 (50)} \cdot 50

Apply exponent rule:

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

= 1000 \cdot 50 \cdot \frac{1}{e ^{50 \cdot 0.02}}

e^{0.02 \cdot 50} = e

= 1000 \cdot 50 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 1000 \cdot 50}{e}

Multiply the numbers:

1 \cdot 1000 \cdot 50 = 50000

= \frac{50000}{e}

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(x^{2} - y) (x^{3} y^{2}) (x^{4} y^{3}) (x^{5} y^{4})

e^{- 51.5729}

2 x y (2 π t^{3} cos (2 π s t^{3}))

What is 1000e^{-0.02(50)}*50 ?
The solution to 1000e^{-0.02(50)}*50 is (50000)/e