What is e^{2x}*(-2)e^{-2x} ?

The solution to e^{2x}*(-2)e^{-2x} is -2

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

simplify

e^{2 x} \cdot (- 2) e^{- 2 x}

- 2

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

2 x - 2 x = 0

= (- 2) e^{0}

Apply rule

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

e^{0} = 1

= (- 2) \cdot 1

Remove parentheses:

(- a) = - a

= - 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= - 2

(x^{2} y^{4} z^{4}) \cdot (x^{2} y^{5} z^{8})

\frac{15}{2} x^{4} y^{- 2} (0.13 x^{5} y^{4})

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

e^{- 2 x}

2 (25)