What is simplify-(e^{-2t})^2(e^t) ?

The solution to simplify-(e^{-2t})^2(e^t) is -e^{-3t}

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

simplify

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

- e^{- 3 t}

Solution steps

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

(e^{- 2 t})^{2} : e^{- 4 t}

= - e^{- 4 t} e^{t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 4 t} e^{t} = e^{- 4 t + t}

= - e^{- 4 t + t}

Add similar elements:

- 4 t + t = - 3 t

= - e^{- 3 t}

(K - 1)^{2} (K - 2) K^{2}

(39 \cdot 1 0^{4}) \cdot (1.6 \cdot 1 0^{- 19})

- 0.3 \cdot 1 0^{- 6}

\frac{e ^{x - \frac{1}{2}}}{e ^{- \frac{1}{2} y^{2}}}

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