What is (3e^{3x})(xe^{3x}) ?

The solution to (3e^{3x})(xe^{3x}) is 3e^{6x}x

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simplify (3e^{3x})(xe^{3x})

simplify

(3 e^{3 x}) (x e^{3 x})

3 e^{6 x} x

Solution steps

(3 e^{3 x}) (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 x e^{3 x + 3 x}

Add similar elements:

3 x + 3 x = 6 x

= 3 x e^{6 x}

(3 x^{2}) (7 x^{2})

2^{\frac{1}{2}} x^{\frac{1}{2}}

3.9 \cdot 1 0^{- 5} (1 \cdot 1 0^{- 8})

(\frac{1}{2} a^{2}) (\frac{4}{5} a^{2} b)

t e^{- 3 t} sin (5 t)