en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/7*40e^{-2t}

Solution

simplify

\frac{5}{7} \cdot 40 e^{- 2 t}

Solution

\frac{200}{7 e ^{2 t}}

Solution steps

\frac{5}{7} \cdot 40 e^{- 2 t}

Apply exponent rule:

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

= 40 \cdot \frac{5}{7} \cdot \frac{1}{e ^{2 t}}

Multiply fractions:

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

= \frac{5 \cdot 1 \cdot 40}{7 e ^{2 t}}

Multiply the numbers:

5 \cdot 1 \cdot 40 = 200

= \frac{200}{7 e ^{2 t}}

Popular Examples

simplify e^{-2t}sin(sqrt(t))simplify

e^{- 2 t} sin (t)

simplify 4*10^{20}(4pi)simplify

4 \cdot 1 0^{20} (4 π)

simplify 2*10^{-7}*0.1 simplify

2 \cdot 1 0^{- 7} \cdot 0.1

simplify (5.85*10^{-3})*1060 simplify

(5.85 \cdot 1 0^{- 3}) \cdot 1060

simplify (0.32)10^{-8}(120)simplify

(0.32) 1 0^{- 8} (120)

Frequently Asked Questions (FAQ)

What is 5/7*40e^{-2t} ?
The solution to 5/7*40e^{-2t} is (200)/(7e^{2t)}