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

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

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

simplify

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

e^{5 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{2 x + 3 x}

Add similar elements:

2 x + 3 x = 5 x

= e^{5 x}

5 - 3 \times 5 + 3

(6 x^{6}) (4 x^{9})

a e^{- a x}

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

e^{- 6 l n (t)}