What is 25000e^{-0.15(5)} ?

The solution to 25000e^{-0.15(5)} is 11809.16381…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 25000e^{-0.15(5)}

simplify

25000 e^{- 0.15 (5)}

11809.16381 \dots

Solution steps

25000 e^{- 0.15 (5)}

Apply exponent rule:

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

= 25000 \cdot \frac{1}{e ^{5 \cdot 0.15}}

Multiply the numbers:

0.15 \cdot 5 = 0.75

= 25000 \cdot \frac{1}{e ^{0.75}}

Multiply fractions:

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

= \frac{1 \cdot 25000}{e ^{0.75}}

Multiply the numbers:

1 \cdot 25000 = 25000

= \frac{25000}{e ^{0.75}}

e^{0.75} = 2.11700 \dots

= \frac{25000}{2.11700 \dots}

Divide the numbers:

\frac{25000}{2.11700 \dots} = 11809.16381 \dots

= 11809.16381 \dots

e^{x} \times e^{y}

(25 x + 4) e^{- 5 x}

13 e^{- 0.015 (0)}

x e^{- 3 x^{2}}