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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

Cancel the common factor:

2

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

Multiply the numbers:

1 \cdot 1 = 1

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

(5 x^{\frac{2}{3}}) (4 x^{\frac{1}{4}})

(4.29 \cdot 1 0^{15}) \cdot (1.99 \cdot 1 0^{- 4})

(22) \cdot 2

2 c^{2} g^{2}