What is 2e^{2x}*9e^{3x} ?

The solution to 2e^{2x}*9e^{3x} is 18e^{5x}

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simplify 2e^{2x}*9e^{3x}

simplify

2 e^{2 x} \cdot 9 e^{3 x}

18 e^{5 x}

Solution steps

2 e^{2 x} \cdot 9 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}

= 2 \cdot 9 e^{2 x + 3 x}

Add similar elements:

2 x + 3 x = 5 x

= 2 \cdot 9 e^{5 x}

Multiply the numbers:

2 \cdot 9 = 18

= 18 e^{5 x}

0.273 \cdot 1 0^{- 3}

(x^{2} + 1)^{\frac{3}{2}}

(2 x^{4}) (2 x^{2}) (4 x^{5})

e e^{e - 1}