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Popular >

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

Solution

simplify

e^{- 2 x} (x^{2} e^{2 x})

Solution

x^{2}

Solution steps

e^{- 2 x} (x^{2} e^{2 x})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 2 x} e^{2 x} = e^{- 2 x + 2 x}

= x^{2} e^{- 2 x + 2 x}

Add similar elements:

- 2 x + 2 x = 0

= x^{2} e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot x^{2}

Multiply:

x^{2} \cdot 1 = x^{2}

= x^{2}

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Frequently Asked Questions (FAQ)

What is e^{-2x}(x^2e^{2x}) ?
The solution to e^{-2x}(x^2e^{2x}) is x^2