en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-t}sin(x)

Solution

simplify

e^{- t} sin (x)

Solution

\frac{sin ( x )}{e ^{t}}

Solution steps

e^{- t} sin (x)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot sin (x) = sin (x)

= \frac{sin ( x )}{e ^{t}}

Popular Examples

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

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

simplify 4.85x10^{-4}simplify

4.85 x 1 0^{- 4}

expand 1/3 (e^{3t}-1)^2e^{-5t}expand

\frac{1}{3} (e^{3 t} - 1)^{2} e^{- 5 t}

simplify 1000*44*94.3*10^{-5}simplify

1000 \cdot 44 \cdot 94.3 \cdot 1 0^{- 5}

simplify (e^{2xy})(e^{-2xy})simplify

(e^{2 x y}) (e^{- 2 x y})

Frequently Asked Questions (FAQ)

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