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

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

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

simplify

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

1

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- sec (x) + sec (x) = 0

= e^{0}

Apply rule

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

= 1

(1.5 \cdot 1 0^{- 3}) (101.6)

c e^{- s t} d t

6 x^{5} (2 x^{4})

5.25 \cdot 1 0^{- 4}

\frac{e ^{3 x}}{e ^{- 5 x}}