en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-3t}cos^2(t)

Solution

simplify

e^{- 3 t} cos^{2} (t)

Solution

\frac{cos ^{2} ( t )}{e ^{3 t}}

Solution steps

e^{- 3 t} cos^{2} (t)

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} cos^{2} (t)

Multiply fractions:

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

= \frac{1 \cdot cos ^{2} ( t )}{e ^{3 t}}

Multiply:

1 \cdot cos^{2} (t) = cos^{2} (t)

= \frac{cos ^{2} ( t )}{e ^{3 t}}

Popular Examples

simplify 12.3*10^{-7}simplify

12.3 \cdot 1 0^{- 7}

simplify 1/(15x^2e^{15x)}(x(24xe^{15x}))simplify

\frac{1}{15 x ^{2} e ^{15 x}} (x (24 x e^{15 x}))

simplify (42*10^{13})^3*(6.8*10^{-7})simplify

(42 \cdot 1 0^{13})^{3} \cdot (6.8 \cdot 1 0^{- 7})

simplify e^{-(9/10)^2}simplify

e^{- (\frac{9}{10})^{2}}

simplify-5d^{-7}e^4 simplify

- 5 d^{- 7} e^{4}

Frequently Asked Questions (FAQ)

What is e^{-3t}cos^2(t) ?
The solution to e^{-3t}cos^2(t) is (cos^2(t))/(e^{3t)}