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

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

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

simplify

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

- 3

Solution steps

- 3 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}

= - 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

2153.5 \cdot 3. 2^{- 0.1625}

- 3 x (8 x^{2})

- 4 e^{- 2 \cdot (0)}

800 e^{- 0.0244 (57)}

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