What is e^{-x}\times 2e^{2x} ?

The solution to e^{-x}\times 2e^{2x} is 2e^x

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simplify e^{-x}\times 2e^{2x}

simplify

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

2 e^{x}

Solution steps

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

Apply exponent rule:

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

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

= 2 e^{- x + 2 x}

Add similar elements:

- x + 2 x = x

= 2 e^{x}

(3 w^{2} z^{7}) (9 w^{2} z^{4})

- 7 e^{- 6 x}

(x^{3} y) (y^{3} x)

{[(0.5)^{- 2}]^{- 3}}^{- 1}

(e^{- 5})^{\frac{4}{5}}