What is simplify-e^{-(jnpi)/2}*e^{-(jnpi)/2} ?

The solution to simplify-e^{-(jnpi)/2}*e^{-(jnpi)/2} is -e^{-pijn}

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simplify-e^{-(jnpi)/2}*e^{-(jnpi)/2}

simplify

- e^{- \frac{jnπ}{2}} \cdot e^{- \frac{jnπ}{2}}

- e^{- πjn}

Solution steps

- e^{- \frac{jnπ}{2}} e^{- \frac{jnπ}{2}}

Apply exponent rule:

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

e^{- \frac{jnπ}{2}} e^{- \frac{jnπ}{2}} = e^{- \frac{πjn}{2} - \frac{πjn}{2}}

= - e^{- \frac{jnπ}{2} - \frac{jnπ}{2}}

Combine the fractions

- \frac{πjn}{2} - \frac{πjn}{2} : - πjn

= - e^{- πjn}

(14 f g^{2} h^{2}) (3 f^{4} g^{2} h^{2})

e^{- 3 t} t^{2} sin (2 t)

2.5 x 1 0^{- 8}

e^{- 0.5 t}

5.9 \cdot 1 0^{- 4}

What is simplify-e^{-(jnpi)/2}*e^{-(jnpi)/2} ?
The solution to simplify-e^{-(jnpi)/2}*e^{-(jnpi)/2} is -e^{-pijn}