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Popular >

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

Solution

simplify

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

Solution

1

Solution steps

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

(e^{t})^{2} : e^{t \cdot 2}

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Refine

= 1

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Frequently Asked Questions (FAQ)

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