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Popular >

simplify 3e^{-x}*3e^{-x}

Solution

simplify

3 e^{- x} \cdot 3 e^{- x}

Solution

9 e^{- 2 x}

Solution steps

3 e^{- x} \cdot 3 e^{- x}

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= e^{- x} \cdot 3^{1 + 1} e^{- x}

Add the numbers:

1 + 1 = 2

= e^{- x} \cdot 3^{2} e^{- x}

Apply exponent rule:

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

e^{- x} e^{- x} = e^{- x - x}

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

Add similar elements:

- x - x = - 2 x

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

3^{2} = 9

= 9 e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is 3e^{-x}*3e^{-x} ?
The solution to 3e^{-x}*3e^{-x} is 9e^{-2x}