What is simplify-1/2 e^{-x/2}*e^{x/2} ?

The solution to simplify-1/2 e^{-x/2}*e^{x/2} is -1/2

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simplify-1/2 e^{-x/2}*e^{x/2}

simplify

- \frac{1}{2} e^{- \frac{x}{2}} \cdot e^{\frac{x}{2}}

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

- \frac{1}{2} e^{- \frac{x}{2}} e^{\frac{x}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{2} e^{\frac{x}{2}} \frac{1}{e ^{\frac{x}{2}}}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= - \frac{1 \cdot 1 \cdot e ^{\frac{x}{2}}}{2 e ^{\frac{x}{2}}}

Cancel the common factor:

e^{\frac{x}{2}}

= - \frac{1 \cdot 1}{2}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{2}

e^{- 1 0^{2}}

1.5 x 1 0^{- 5}

e^{- 54}

x^{2} + y^{2}^{2}

What is simplify-1/2 e^{-x/2}*e^{x/2} ?
The solution to simplify-1/2 e^{-x/2}*e^{x/2} is -1/2