en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3e^{-0.4(1/8)}

Solution

simplify

3 e^{- 0.4 (\frac{1}{8})}

Solution

2.85368 \dots

Solution steps

3 e^{- 0.4 (\frac{1}{8})}

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{0.4 \cdot \frac{1}{8}}}

\frac{1}{e ^{0.4 \cdot \frac{1}{8}}} = \frac{1}{e ^{0.05}}

= 3 \cdot \frac{1}{e ^{0.05}}

Multiply fractions:

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

= \frac{1 \cdot 3}{e ^{0.05}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{3}{1.05127 \dots}

Divide the numbers:

\frac{3}{1.05127 \dots} = 2.85368 \dots

= 2.85368 \dots

Popular Examples

simplify 2^4cdot2^2 simplify

2^{4} c d o t 2^{2}

simplify (1.6x10^{-19})(1.49x10^{11})simplify

(1.6 x 1 0^{- 19}) (1.49 x 1 0^{11})

simplify 51.5*10^{-2}simplify

51.5 \cdot 1 0^{- 2}

simplify (x^2+y)^5(x+y^2)^5 simplify

(x^{2} + y)^{5} (x + y^{2})^{5}

simplify e^{-st}sin(wt)simplify

e^{- s t} sin (wt)

Frequently Asked Questions (FAQ)

What is 3e^{-0.4(1/8)} ?
The solution to 3e^{-0.4(1/8)} is 2.85368…