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Popular >

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

Solution

simplify

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

Solution

e^{- t^{2} + 2 t}

Solution steps

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

Apply exponent rule:

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

e^{t} e^{- t^{2}} e^{t} = e^{t - t^{2} + t}

= e^{t - t^{2} + t}

Simplify

t - t^{2} + t : - t^{2} + 2 t

= e^{- t^{2} + 2 t}

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- 9 e^{- 1.5}

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6.626 \cdot 1 0^{- 34} \cdot \frac{3 \cdot 1 0 ^{8}}{1350 \cdot 1 0 ^{- 9}}

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A \cdot 2.71 8^{- 0.15 \cdot 4}

Frequently Asked Questions (FAQ)

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