What is 3e^{3x}\times e^{2x} ?

The solution to 3e^{3x}\times e^{2x} is 3e^{5x}

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

simplify

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

3 e^{5 x}

Solution steps

3 e^{3 x} e^{2 x}

Apply exponent rule:

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

e^{3 x} e^{2 x} = e^{3 x + 2 x}

= 3 e^{3 x + 2 x}

Add similar elements:

3 x + 2 x = 5 x

= 3 e^{5 x}

x e^{- x} d x

(x - 1)^{2} \times (x + 2)^{2}

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

4 e^{4 x} \times e^{4 x}