What is sqrt(2)e^{(-pi)/4 j}*e^{pi/4 j} ?

The solution to sqrt(2)e^{(-pi)/4 j}*e^{pi/4 j} is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(2)e^{(-pi)/4 j}*e^{pi/4 j}

simplify

2 e^{\frac{- π}{4} j} \cdot e^{\frac{π}{4} j}

2

Decimal Notation

1.41421 \dots

Solution steps

2 e^{\frac{- π}{4} j} e^{\frac{π}{4} j}

Apply exponent rule:

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

e^{\frac{- π}{4} j} e^{\frac{π}{4} j} = e^{\frac{- π}{4} j + \frac{π}{4} j}

= 2 e^{\frac{- π}{4} j + \frac{π}{4} j}

e^{\frac{- π}{4} j + \frac{π}{4} j} = 1

= 1 \cdot 2

Multiply:

2 \cdot 1 = 2

= 2

(5 r^{6} s^{3}) (2 r^{2} s^{4})

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

c^{6} h^{12} o^{6}

\frac{( \frac{2}{9} ) ^{2}}{( \frac{2}{9} ) _{- 2}}

What is sqrt(2)e^{(-pi)/4 j}*e^{pi/4 j} ?
The solution to sqrt(2)e^{(-pi)/4 j}*e^{pi/4 j} is square root of 2