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

The solution to simplify-1/2 e^{-2x}(1/2) is -1/(4e^{2x)}

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simplify-1/2 e^{-2x}(1/2)

simplify

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

- \frac{1}{4 e ^{2 x}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Refine

= - \frac{1}{4 e ^{2 x}}

241 (16)^{- 0.25}

5 e^{- 8}

e^{2 x} (e^{x}) (9 e^{3 x})

(6.72 \cdot 1 0^{4}) (2.91 \cdot 1 0^{3})

What is simplify-1/2 e^{-2x}(1/2) ?
The solution to simplify-1/2 e^{-2x}(1/2) is -1/(4e^{2x)}