What is e^{-3x}(3e^{3x}) ?

The solution to e^{-3x}(3e^{3x}) is 3

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

simplify

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

3

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 3 x + 3 x = 0

= 3 e^{0}

Apply rule

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

e^{0} = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

x \cdot e^{- \frac{1}{x}}

9.961 \cdot 1 0^{- 14}

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

\frac{3 ^{14999}}{3 ^{15000}}