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Popular >

simplify 1/4 ze^{-|z|}

Solution

simplify

\frac{1}{4} z e^{- ∣ z ∣}

Solution

\frac{z}{4 e ^{∣ z ∣}}

Solution steps

\frac{1}{4} z e^{- ∣ z ∣}

Apply exponent rule:

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

= \frac{1}{4} \cdot \frac{1}{e ^{∣ z ∣}} z

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 z}{4 e ^{∣ z ∣}}

Multiply:

1 \cdot 1 \cdot z = z

= \frac{z}{4 e ^{∣ z ∣}}

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Frequently Asked Questions (FAQ)

What is 1/4 ze^{-|z|} ?
The solution to 1/4 ze^{-|z|} is z/(4e^{|z|)}