What is 40e^{(x/(10))}*e^{(-x/(10))} ?

The solution to 40e^{(x/(10))}*e^{(-x/(10))} is 40

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simplify 40e^{(x/(10))}*e^{(-x/(10))}

simplify

40 e^{(\frac{x}{10})} \cdot e^{(- \frac{x}{10})}

40

Solution steps

40 e^{(\frac{x}{10})} e^{(- \frac{x}{10})}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 40 e^{\frac{x}{10}} \frac{1}{e ^{\frac{x}{10}}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 40 e ^{\frac{x}{10}}}{e ^{\frac{x}{10}}}

Cancel the common factor:

e^{\frac{x}{10}}

= 1 \cdot 40

Multiply the numbers:

1 \cdot 40 = 40

= 40

(8 a^{2}) (7 a^{4})

(1 - \frac{t}{2})^{- 1}

π \cdot 3 5^{2}

6 e^{5} e^{- 4}

3.44828 \cdot 1 0^{- 10} \cdot 0.414

What is 40e^{(x/(10))}*e^{(-x/(10))} ?
The solution to 40e^{(x/(10))}*e^{(-x/(10))} is 40