What is e^{-cos(x)}*e^{cos(x)} ?

The solution to e^{-cos(x)}*e^{cos(x)} is 1

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simplify e^{-cos(x)}*e^{cos(x)}

simplify

e^{- c o s (x)} \cdot e^{c o s (x)}

1

Solution steps

e^{- c o s (x)} e^{c o s (x)}

Apply exponent rule:

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

e^{- c o s (x)} e^{c o s (x)} = e^{- c o s (x) + c o s (x)}

= e^{- c o s (x) + c o s (x)}

Add similar elements:

- cos (x) + cos (x) = 0

= e^{0}

Apply rule

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

= 1

e^{- x^{3}} \cdot e^{x^{3}}

(\frac{1}{3} e^{- 2})^{- 4}

(2 x^{3} y) (3 x^{4} y^{3})

e^{2 t} \cdot 2 e^{2 t}

- 8 y (x^{2} y^{3} c^{4})