simplify e^x*(-e^x)

Solution

simplify

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

- 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}

\frac{1}{1 - x} - \frac{2}{1 - x ^{2}}

\frac{2}{3} (3 x + \frac{3}{5}) - 6 \frac{2}{5}

\frac{x ^{2} + 11 x + 28}{x + 4}

\frac{2}{cos ( x )}

(\frac{1}{4} - \frac{3}{5} n) - n