What is e^{4x}\times (-4)e^{-4x} ?

The solution to e^{4x}\times (-4)e^{-4x} is -4

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simplify e^{4x}\times (-4)e^{-4x}

simplify

e^{4 x} \cdot (- 4) e^{- 4 x}

- 4

Solution steps

e^{4 x} (- 4) e^{- 4 x}

Apply exponent rule:

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

e^{4 x} e^{- 4 x} = e^{4 x - 4 x}

= (- 4) e^{4 x - 4 x}

Add similar elements:

4 x - 4 x = 0

= (- 4) e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= (- 4) \cdot 1

Remove parentheses:

(- a) = - a

= - 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= - 4

6 - x \times 3 - x

X - 1 \cdot X + 1

2 x y (5 x^{2} y)

\frac{e ^{2}}{e}

What is e^{4x}\times (-4)e^{-4x} ?
The solution to e^{4x}\times (-4)e^{-4x} is -4