What is simplify-e^{-x}*e^{4x} ?

The solution to simplify-e^{-x}*e^{4x} is -e^{3x}

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simplify-e^{-x}*e^{4x}

simplify

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

- e^{3 x}

Solution steps

- e^{- x} e^{4 x}

Apply exponent rule:

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

e^{- x} e^{4 x} = e^{- x + 4 x}

= - e^{- x + 4 x}

Add similar elements:

- x + 4 x = 3 x

= - e^{3 x}

e^{2 t + 3} \cdot e^{n wt}

x^{2} \times x e^{3}

e^{- 2 (- 3)}

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

6 x^{3} y (2 x y^{5})

What is simplify-e^{-x}*e^{4x} ?
The solution to simplify-e^{-x}*e^{4x} is -e^{3x}