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Popular >

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

Solution

simplify

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

Solution

4 e^{- 4 t}

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 2 e^{- 2 t})^{2} = (2 e^{- 2 t})^{2}

= (2 e^{- 2 t})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{2} (e^{- 2 t})^{2}

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

= 2^{2} e^{- 4 t}

2^{2} = 4

= 4 e^{- 4 t}

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Frequently Asked Questions (FAQ)

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