en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-2tx}sin(5t)

Solution

simplify

e^{- 2 t x} sin (5 t)

Solution

\frac{sin ( 5 t )}{e ^{2 t x}}

Solution steps

e^{- 2 t x} sin (5 t)

Apply exponent rule:

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

= \frac{1}{e ^{2 t x}} sin (5 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 5 t )}{e ^{2 t x}}

Multiply:

1 \cdot sin (5 t) = sin (5 t)

= \frac{sin ( 5 t )}{e ^{2 t x}}

Popular Examples

simplify 3.971*10^{-11}simplify

3.971 \cdot 1 0^{- 11}

expand ((x+5)(x-5))^3 expand

((x + 5) (x - 5))^{3}

simplify 3^{-5/3}*0.09 simplify

3^{- \frac{5}{3}} \cdot 0.09

simplify e^{-ln((2x)/(57))}simplify

e^{- l n (\frac{2 x}{57})}

simplify e^{-7.43369}simplify

e^{- 7.43369}

Frequently Asked Questions (FAQ)

What is e^{-2tx}sin(5t) ?
The solution to e^{-2tx}sin(5t) is (sin(5t))/(e^{2tx)}