en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(4t)e^{-st}

Solution

simplify

sin (4 t) e^{- s t}

Solution

\frac{sin ( 4 t )}{e ^{t s}}

Solution steps

sin (4 t) e^{- s t}

Apply exponent rule:

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

= \frac{1}{e ^{t s}} sin (4 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 4 t )}{e ^{s t}}

Multiply:

1 \cdot sin (4 t) = sin (4 t)

= \frac{sin ( 4 t )}{e ^{t s}}

Popular Examples

simplify sqrt(2)^{10*sqrt(2)}simplify

2^{10 \cdot 2}

simplify (2x^4y)(3x^5y^8)simplify

(2 x^{4} y) (3 x^{5} y^{8})

simplify (\sqrt[3]{ab})^{15}simplify

simplify (2*sqrt(5))*(3*sqrt(7))simplify

(2 \cdot 5) \cdot (3 \cdot 7)

simplify-0.705829x^{-1.74077}simplify

- 0.705829 x^{- 1.74077}

Frequently Asked Questions (FAQ)

What is sin(4t)e^{-st} ?
The solution to sin(4t)e^{-st} is (sin(4t))/(e^{ts)}