What is simplify-e^{-x}\times e^x ?

The solution to simplify-e^{-x}\times e^x is -1

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simplify-e^{-x}\times e^x

simplify

- e^{- x} \cdot e^{x}

- 1

Solution steps

- e^{- x} e^{x}

Apply exponent rule:

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

e^{- x} e^{x} = e^{- x + x}

= - e^{- x + x}

Add similar elements:

- x + x = 0

= - e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= - 1

2^{n} \cdot (- \frac{1}{2})^{n}

{[(\frac{5}{4} - 3)^{- 2}]^{- 2}}^{- 1}

5 r^{4}

0^{2} e^{- 0}

\frac{( ( \frac{4}{7} ) ^{6} )}{( ( \frac{4}{7} ) ^{- 6} )}

What is simplify-e^{-x}\times e^x ?
The solution to simplify-e^{-x}\times e^x is -1