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Popular >

simplify (2λ)^2xe^{-2λx}

Solution

simplify

(2 λ)^{2} x e^{- 2 λ x}

Solution

\frac{4 λ ^{2} x}{e ^{2 λ x}}

Solution steps

(2 λ)^{2} x e^{- 2 λ x}

Apply exponent rule:

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

= \frac{1}{e ^{2 λ x}} x (2 λ)^{2}

(2 λ)^{2} = 2^{2} λ^{2}

= 2^{2} λ^{2} \frac{1}{e ^{2 λ x}} x

Multiply fractions:

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

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

Refine

= \frac{4 λ ^{2} x}{e ^{2 λ x}}

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Frequently Asked Questions (FAQ)

What is (2λ)^2xe^{-2λx} ?
The solution to (2λ)^2xe^{-2λx} is (4λ^2x)/(e^{2λx)}