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

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

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

simplify

e^{3 x} \cdot (- 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

Remove parentheses:

(- a) = - a

= - 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= - 3

5.2 \cdot 1 0^{- 3}

(1 - x) (1 + x)

\frac{3}{11}

e^{2} \times e^{2}