en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-te^{-st}

Solution

simplify

- t e^{- s t}

Solution

- \frac{t}{e ^{t s}}

Solution steps

- t e^{- s t}

Apply exponent rule:

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

= - \frac{1}{e ^{t s}} t

Multiply fractions:

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

= - \frac{1 \cdot t}{e ^{s t}}

Multiply:

1 \cdot t = t

= - \frac{t}{e ^{t s}}

Popular Examples

simplify 2^{1/2}pi^{1/2}simplify

2^{\frac{1}{2}} π^{\frac{1}{2}}

simplify \sqrt[4]{8^2}simplify

simplify (6x^{102})(4x^{105})simplify

(6 x^{102}) (4 x^{105})

simplify (2.9*10^{18})(4.5*10^{10})simplify

(2.9 \cdot 1 0^{18}) (4.5 \cdot 1 0^{10})

simplify ((3^{-3})^{-2})^{-2}simplify

((3^{- 3})^{- 2})^{- 2}

Frequently Asked Questions (FAQ)

What is simplify-te^{-st} ?
The solution to simplify-te^{-st} is -t/(e^{ts)}