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Popular >

simplify (e^{j(2t+pi/4)})^2

Solution

simplify

(e^{j (2 t + \frac{π}{4})})^{2}

Solution

e^{\frac{j ( 8 t + π )}{2}}

Solution steps

(e^{j (2 t + \frac{π}{4})})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{j (2 t + \frac{π}{4}) \cdot 2}

Simplify

j (2 t + \frac{π}{4}) \cdot 2 : \frac{j ( 8 t + π )}{2}

= e^{\frac{j ( 8 t + π )}{2}}

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Frequently Asked Questions (FAQ)

What is (e^{j(2t+pi/4)})^2 ?
The solution to (e^{j(2t+pi/4)})^2 is e^{(j(8t+pi))/2}