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Popular >

simplify 4e^{pi/3}e^{(-pi)/4}

Solution

simplify

4 e^{\frac{π}{3}} e^{\frac{- π}{4}}

Solution

4 e^{\frac{π}{12}}

+1

Decimal Notation

5.19706 \dots

Solution steps

4 e^{\frac{π}{3}} e^{\frac{- π}{4}}

Apply exponent rule:

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

e^{\frac{π}{3}} e^{\frac{- π}{4}} = e^{\frac{π}{3} + \frac{- π}{4}}

= 4 e^{\frac{π}{3} + \frac{- π}{4}}

e^{\frac{π}{3} + \frac{- π}{4}} = e^{\frac{π}{12}}

= 4 e^{\frac{π}{12}}

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Frequently Asked Questions (FAQ)

What is 4e^{pi/3}e^{(-pi)/4} ?
The solution to 4e^{pi/3}e^{(-pi)/4} is 4e^{pi/(12)}