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Popular >

simplify e^{jpi}e^{j pi/2}

Solution

simplify

e^{jπ} e^{j \frac{π}{2}}

Solution

e^{πj + \frac{πj}{2}}

Solution steps

e^{jπ} e^{j \frac{π}{2}}

Apply exponent rule:

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

e^{jπ} e^{j \frac{π}{2}} = e^{πj + \frac{π}{2} j}

= e^{jπ + j \frac{π}{2}}

Multiply

j \frac{π}{2} : \frac{πj}{2}

= e^{jπ + \frac{πj}{2}}

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Frequently Asked Questions (FAQ)

What is e^{jpi}e^{j pi/2} ?
The solution to e^{jpi}e^{j pi/2} is e^{pij+(pij)/2}