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Popular >

simplify 2t^4e^{-2t}u(t)

Solution

simplify

2 t^{4} e^{- 2 t} u (t)

Solution

2 e^{- 2 t} t^{5} u

Solution steps

2 t^{4} e^{- 2 t} u (t)

Apply exponent rule:

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

t^{4} t = t^{4 + 1}

= 2 e^{- 2 t} u t^{4 + 1}

Add the numbers:

4 + 1 = 5

= 2 e^{- 2 t} u t^{5}

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Frequently Asked Questions (FAQ)

What is 2t^4e^{-2t}u(t) ?
The solution to 2t^4e^{-2t}u(t) is 2e^{-2t}t^5u