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}

0.1289 (\frac{1}{0.08205 \cdot 298.15})^{- 2}

e^{v^{1} x} \cdot e^{v^{2} x} v^{2}

(1.5 \cdot 1 0^{- 6}) (\frac{225}{1 ( 1 0 ^{- 4} )})

0.265 \cdot 1.3 3^{2} \cdot 10 \cdot 953 3^{- 0.133}

100 \cdot e^{- 0.4023594781 \cdot 8}

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