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Popular >

simplify e^x*(-2)e^{2x}

Solution

simplify

e^{x} \cdot (- 2) e^{2 x}

Solution

- 2 e^{3 x}

Solution steps

e^{x} (- 2) e^{2 x}

Apply exponent rule:

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

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

= (- 2) e^{x + 2 x}

Add similar elements:

x + 2 x = 3 x

= (- 2) e^{3 x}

Remove parentheses:

(- a) = - a

= - 2 e^{3 x}

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Frequently Asked Questions (FAQ)

What is e^x*(-2)e^{2x} ?
The solution to e^x*(-2)e^{2x} is -2e^{3x}