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Popular >

simplify β/2*e^{-β|x-a|}

Solution

simplify

\frac{β}{2} \cdot e^{- β ∣ x - a ∣}

Solution

\frac{β}{2 e ^{β ∣ x - a ∣}}

Solution steps

\frac{β}{2} e^{- β ∣ x - a ∣}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

β \cdot 1 = β

= \frac{β}{2 e ^{β ∣ x - a ∣}}

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Frequently Asked Questions (FAQ)

What is β/2*e^{-β|x-a|} ?
The solution to β/2*e^{-β|x-a|} is β/(2e^{β|x-a|)}