en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

(e^{- t}) (- e^{- t})

Solution

- \frac{1}{e ^{2 t}}

Solution steps

(e^{- t}) (- e^{- t})

Apply exponent rule:

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

= \frac{1}{e ^{t}} (- e^{- t})

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{t}} e^{- t}

Multiply fractions:

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

= - \frac{1 \cdot e ^{- t}}{e ^{t}}

Multiply:

1 \cdot e^{- t} = e^{- t}

= - \frac{e ^{- t}}{e ^{t}}

Apply exponent rule:

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

\frac{e ^{- t}}{e ^{t}} = e^{- t - t} = e^{- 2 t}

= - \frac{1}{e ^{2 t}}

Popular Examples

simplify (7.39*10^{-4})*(52.3*60)simplify

(7.39 \cdot 1 0^{- 4}) \cdot (52.3 \cdot 60)

simplify (2.3*10^{-5})(3.1*10^{12})simplify

(2.3 \cdot 1 0^{- 5}) (3.1 \cdot 1 0^{12})

simplify xe^{-x(y+1)}simplify

x e^{- x (y + 1)}

simplify (17)(1.96)^2(0.5)(0.5)simplify

(17) (1.96)^{2} (0.5) (0.5)

simplify sqrt(x)*sqrt(a)simplify

x \cdot a

Frequently Asked Questions (FAQ)

What is (e^{-t})(-e^{-t}) ?
The solution to (e^{-t})(-e^{-t}) is -1/(e^{2t)}