1e^x=e^ 1 ⇒ e^ x=e^ 1 Since, bases are same so, powers are equated #160; x= 1 ⇒ x=1 ...

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Exponential Representation for Irrational Numbers

How is 1/ex...

Question

How is $\frac{1}{e^{x}} = e^{- 1}$ ?

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Solution

$\frac{1}{e^{x}} = e^{- 1}$
$\Rightarrow e^{- x} = e^{- 1}$
Since, bases are same so, powers are equated
$- x = - 1$
$\Rightarrow x = 1$

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