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} (9 e^{3 x})

18 e^{5 x}

Solution steps

2 e^{2 x} (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}

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