en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-4x}sin(3x)

Solution

simplify

e^{- 4 x} sin (3 x)

Solution

\frac{sin ( 3 x )}{e ^{4 x}}

Solution steps

e^{- 4 x} sin (3 x)

Apply exponent rule:

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

= \frac{1}{e ^{4 x}} sin (3 x)

Multiply fractions:

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

= \frac{1 \cdot sin ( 3 x )}{e ^{4 x}}

Multiply:

1 \cdot sin (3 x) = sin (3 x)

= \frac{sin ( 3 x )}{e ^{4 x}}

Popular Examples

simplify (sqrt(-63))/(sqrt(21))simplify

\frac{- 63}{21}

simplify 1.93*10^{-3}simplify

1.93 \cdot 1 0^{- 3}

simplify e^{-(2.35)/(0.66)}simplify

e^{- \frac{2.35}{0.66}}

simplify 1.62*10^{-6}simplify

1.62 \cdot 1 0^{- 6}

simplify e^{-2(t-1)}simplify

e^{- 2 (t - 1)}

Frequently Asked Questions (FAQ)

What is e^{-4x}sin(3x) ?
The solution to e^{-4x}sin(3x) is (sin(3x))/(e^{4x)}