What is simplify-e^{3x}*e^{-3x} ?

The solution to simplify-e^{3x}*e^{-3x} is -1

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

simplify

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

- 1

Solution steps

- e^{3 x} 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}

= - e^{3 x - 3 x}

Add similar elements:

3 x - 3 x = 0

= - e^{0}

Apply rule

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

= - 1

\frac{e ^{8}}{e ^{2}}

- e^{- y} e^{- y}

e^{- x} (x sin (y) - y cos (y))

x \cdot h

2 x^{(k - 1)}