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Popular >

simplify e^x*(-e^x)

Solution

simplify

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

Solution

- e^{2 x}

Solution steps

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

Remove parentheses:

(- a) = - a

= - e^{x} e^{x}

Apply exponent rule:

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

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

= - e^{x + x}

Add similar elements:

x + x = 2 x

= - e^{2 x}

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Frequently Asked Questions (FAQ)

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