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Popular >

simplify e^{-j(-t)}e^{jt}

Solution

simplify

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

Solution

e^{2 j t}

Solution steps

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

Apply exponent rule:

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

e^{- j (- t)} e^{j t} = e^{- j (- t) + j t}

= e^{- j (- t) + j t}

Apply rule

- (- a) = a

= e^{j t + j t}

Add similar elements:

j t + j t = 2 j t

= e^{2 j t}

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Frequently Asked Questions (FAQ)

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