simplify t^ne^{-st}

Solution

simplify

t^{n} e^{- s t}

\frac{t ^{n}}{e ^{t s}}

Solution steps

t^{n} e^{- s t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot t^{n} = t^{n}

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

((2^{1})^{2})^{3}

- e^{- s t} \cdot (- e^{- s t})

e^{- x} cos (2 t)

3.4 3^{- 31} \cdot 3.14

\frac{d}{d x} ((1 + y)^{x})