en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{(-st)}(t-a)^3

Solution

simplify

e^{(- s t)} (t - a)^{3}

Solution

\frac{( t - a ) ^{3}}{e ^{s t}}

Solution steps

e^{(- s t)} (t - a)^{3}

Apply exponent rule:

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

= \frac{1}{e ^{s t}} (t - a)^{3}

Multiply fractions:

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

= \frac{1 \cdot ( t - a ) ^{3}}{e ^{s t}}

Multiply:

1 \cdot (t - a)^{3} = (t - a)^{3}

= \frac{( t - a ) ^{3}}{e ^{s t}}

Popular Examples

simplify xe^{-x^3}simplify

x e^{- x^{3}}

simplify 15000e^{-0.15}simplify

15000 e^{- 0.15}

simplify 3y(1/3 y^2)simplify

3 y (\frac{1}{3} y^{2})

simplify (2x)x^2 simplify

(2 x) x^{2}

simplify asqrt(\sqrt[3]{11ab)}simplify

Frequently Asked Questions (FAQ)

What is e^{(-st)}(t-a)^3 ?
The solution to e^{(-st)}(t-a)^3 is ((t-a)^3)/(e^{st)}