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

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

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

simplify

e^{- s i n (x)} \cdot e^{s i n (x)}

1

Solution steps

e^{- s i n (x)} e^{s i n (x)}

Apply exponent rule:

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

e^{- s i n (x)} e^{s i n (x)} = e^{- s i n (x) + s i n (x)}

= e^{- s i n (x) + s i n (x)}

Add similar elements:

- sin (x) + sin (x) = 0

= e^{0}

Apply rule

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

= 1

(e^{- 3 t})^{2}

2.05 \cdot 80 0^{- 0.18}

\frac{4 - ∣ x ∣ ^{2}}{∣ x ∣ - 1}

e^{- (0.00333 \cdot 6)}

5.7 \cdot 1 0^{- 2}