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Popular >

simplify t*e^{-t}

Solution

simplify

t \cdot e^{- t}

Solution

\frac{t}{e ^{t}}

Solution steps

t e^{- t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

Popular Examples

simplify 1.38*10^{-23}simplify

1.38 \cdot 1 0^{- 23}

simplify 1.8*10^{-3}simplify

1.8 \cdot 1 0^{- 3}

simplify [(2^3)^5]^6 simplify

[(2^{3})^{5}]^{6}

simplify 2e^x*e^x simplify

2 e^{x} \cdot e^{x}

simplify (sqrt(c^5))/(sqrt(d^9))simplify

\frac{c ^{5}}{d ^{9}}

Frequently Asked Questions (FAQ)

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