What is e^{-3x}\times 3e^{3x} ?

The solution to e^{-3x}\times 3e^{3x} is 3

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simplify e^{-3x}\times 3e^{3x}

simplify

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

3

Solution steps

e^{- 3 x} \cdot 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

\frac{1}{21} e^{21 x} e^{- 4 x}

(8 e^{6} f^{- 4})^{- 1}

x + 4 \cdot x - 5

1 + x^{2} \times 1 - x^{2}

((2^{5})^{2})^{4}