What is e^{x/(2L)}(e^{x/(2L)}) ?

The solution to e^{x/(2L)}(e^{x/(2L)}) is e^{x/L}

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simplify e^{x/(2L)}(e^{x/(2L)})

simplify

e^{\frac{x}{2 L}} (e^{\frac{x}{2 L}})

e^{\frac{x}{L}}

Solution steps

e^{\frac{x}{2 L}} (e^{\frac{x}{2 L}})

Apply exponent rule:

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

e^{\frac{x}{2 L}} e^{\frac{x}{2 L}} = e^{\frac{x}{2 L} + \frac{x}{2 L}}

= e^{\frac{x}{2 L} + \frac{x}{2 L}}

Combine the fractions

\frac{x}{2 L} + \frac{x}{2 L} : \frac{x}{L}

= e^{\frac{x}{L}}

- 20 e^{- x} (- 2 e^{- x})

x + 2 \cdot x - 1

2.7 x 1 0^{- 3}

7.1734 \cdot 1 0^{- 5}

1000 t e^{- 0.06 t} d t

What is e^{x/(2L)}(e^{x/(2L)}) ?
The solution to e^{x/(2L)}(e^{x/(2L)}) is e^{x/L}