What is (e^{-bx}}{e^{2(\frac{-b)/2)x}} ?

The solution to (e^{-bx}}{e^{2(\frac{-b)/2)x}} is 1

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simplify (e^{-bx}}{e^{2(\frac{-b)/2)x}}

simplify

\frac{e ^{- b x}}{e ^{2 (\frac{- b}{2}) x}}

1

Solution steps

\frac{e ^{- b x}}{e ^{2 (\frac{- b}{2}) x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= e^{- b x - 2 \cdot \frac{- b}{2} x}

2 \cdot \frac{- b}{2} x = - b x

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

Apply rule

- (- a) = a

= e^{- b x + b x}

Add similar elements:

- b x + b x = 0

= e^{0}

Apply rule

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

= 1

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

(e^{- t}) (- e^{- t})

(7.39 \cdot 1 0^{- 4}) \cdot (52.3 \cdot 60)

(2.3 \cdot 1 0^{- 5}) (3.1 \cdot 1 0^{12})

x e^{- x (y + 1)}

What is (e^{-bx}}{e^{2(\frac{-b)/2)x}} ?
The solution to (e^{-bx}}{e^{2(\frac{-b)/2)x}} is 1