What is 27e^{-0.3(5)} ?

The solution to 27e^{-0.3(5)} is 6.02451…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 27e^{-0.3(5)}

simplify

27 e^{- 0.3 (5)}

6.02451 \dots

Solution steps

27 e^{- 0.3 (5)}

Apply exponent rule:

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

= 27 \cdot \frac{1}{e ^{5 \cdot 0.3}}

Multiply the numbers:

0.3 \cdot 5 = 1.5

= 27 \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 27}{e ^{1.5}}

Multiply the numbers:

1 \cdot 27 = 27

= \frac{27}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{27}{4.48168 \dots}

Divide the numbers:

\frac{27}{4.48168 \dots} = 6.02451 \dots

= 6.02451 \dots

9 x e^{- 0.4 x}

2 x \times x

x^{3} \times e^{- x}

e^{- 118}