What is 20*pi*e^{(-50)/(99)}*e^{50/99} ?

The solution to 20*pi*e^{(-50)/(99)}*e^{50/99} is 20pi

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simplify 20pie^{(-50)/(99)}*e^{50/99}

simplify

20 \cdot π \cdot e^{\frac{- 50}{99}} \cdot e^{\frac{50}{99}}

20 π

Decimal Notation

62.83185 \dots

Solution steps

20 π e^{\frac{- 50}{99}} e^{\frac{50}{99}}

Apply exponent rule:

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

e^{\frac{- 50}{99}} e^{\frac{50}{99}} = e^{\frac{- 50}{99} + \frac{50}{99}}

= 20 π e^{\frac{- 50}{99} + \frac{50}{99}}

e^{\frac{- 50}{99} + \frac{50}{99}} = 1

= 20 \cdot 1 π

Multiply the numbers:

20 \cdot 1 = 20

= 20 π

- \frac{22}{7}

500 \cdot e^{- 2.5}

(a^{3} b) \cdot (a^{4} b^{3})

60 \cdot 1 0^{- 6} \cdot 0.00023

What is 20*pi*e^{(-50)/(99)}*e^{50/99} ?
The solution to 20*pi*e^{(-50)/(99)}*e^{50/99} is 20pi