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

The solution to e^x\times 2e^{2x}\times 9e^{3x} is 18e^{6x}

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simplify e^x\times 2e^{2x}\times 9e^{3x}

simplify

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

18 e^{6 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

x + 2 x + 3 x = 6 x

= 2 \cdot 9 e^{6 x}

Multiply the numbers:

2 \cdot 9 = 18

= 18 e^{6 x}

3 e^{- 7 t}

3 x^{2} \times (2 x^{3})

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

44

What is e^x\times 2e^{2x}\times 9e^{3x} ?
The solution to e^x\times 2e^{2x}\times 9e^{3x} is 18e^{6x}