What is e^{jw(1.5)}(e^{-jw(2.5)}) ?

The solution to e^{jw(1.5)}(e^{-jw(2.5)}) is e^{-jw}

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simplify e^{jw(1.5)}(e^{-jw(2.5)})

simplify

e^{j w (1.5)} (e^{- j w (2.5)})

e^{- j w}

Solution steps

e^{j w (1.5)} (e^{- j w (2.5)})

Apply exponent rule:

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

e^{j w \cdot 1.5} e^{- j w \cdot 2.5} = e^{1.5 j w - 2.5 j w}

= e^{j w \cdot 1.5 - j w \cdot 2.5}

Add similar elements:

1.5 j w - 2.5 j w = - j w

= e^{- j w}

(14 x y^{2} z^{3}) (7 w x yz)

50 e^{- 0.5 (6)}

5 \cdot e^{- 6}

(e^{1.2826 + j^{0.588}})^{(3 + j^{2})}

(45) (23)

What is e^{jw(1.5)}(e^{-jw(2.5)}) ?
The solution to e^{jw(1.5)}(e^{-jw(2.5)}) is e^{-jw}