What is 2e^{2x}\times 9e^{3x} ?

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

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simplify 2e^{2x}\times 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}

x y x y + x

5 + 2 \times 5 - 2

e^{- 5} \frac{5 ^{6}}{6 !}

1 \cdot 1 0^{- 3} e^{\frac{- 0.7}{0.026}}

What is 2e^{2x}\times 9e^{3x} ?
The solution to 2e^{2x}\times 9e^{3x} is 18e^{5x}