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Popular >

simplify (-3e^{-3x})^2

Solution

simplify

(- 3 e^{- 3 x})^{2}

Solution

9 e^{- 6 x}

Solution steps

(- 3 e^{- 3 x})^{2}

Apply exponent rule:

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

if

n

is even

(- 3 e^{- 3 x})^{2} = (3 e^{- 3 x})^{2}

= (3 e^{- 3 x})^{2}

Apply exponent rule:

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

= 3^{2} (e^{- 3 x})^{2}

(e^{- 3 x})^{2} : e^{- 6 x}

= 3^{2} e^{- 6 x}

3^{2} = 9

= 9 e^{- 6 x}

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Frequently Asked Questions (FAQ)

What is (-3e^{-3x})^2 ?
The solution to (-3e^{-3x})^2 is 9e^{-6x}