What is 100000e^{-0.05(20)} ?

The solution to 100000e^{-0.05(20)} is (100000)/e

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simplify 100000e^{-0.05(20)}

simplify

100000 e^{- 0.05 (20)}

\frac{100000}{e}

Decimal Notation

36787.94411 \dots

Solution steps

100000 e^{- 0.05 (20)}

Apply exponent rule:

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

= 100000 \cdot \frac{1}{e ^{20 \cdot 0.05}}

e^{0.05 \cdot 20} = e

= 100000 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 100000}{e}

Multiply the numbers:

1 \cdot 100000 = 100000

= \frac{100000}{e}

(\frac{y}{3 z e ^{3}}) e^{- 2}

2 (- 6 x^{2} - x) 0.2 (- 6 x^{2} - x)

- 5 e^{- 5 t} \cdot 10 t

e^{1} \cdot e^{3}