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Popular >

simplify (1+2z)e^{-2z}

Solution

simplify

(1 + 2 z) e^{- 2 z}

Solution

\frac{2 z + 1}{e ^{2 z}}

Solution steps

(1 + 2 z) e^{- 2 z}

Apply exponent rule:

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

= \frac{1}{e ^{2 z}} (2 z + 1)

Multiply fractions:

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

= \frac{1 \cdot ( 1 + 2 z )}{e ^{2 z}}

1 \cdot (1 + 2 z) = 1 + 2 z

= \frac{1 + 2 z}{e ^{2 z}}

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Frequently Asked Questions (FAQ)

What is (1+2z)e^{-2z} ?
The solution to (1+2z)e^{-2z} is (2z+1)/(e^{2z)}