What is (e^{x^2+2x-4})/(e^{5x+4)} ?

The solution to (e^{x^2+2x-4})/(e^{5x+4)} is e^{x^2-3x-8}

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simplify (e^{x^2+2x-4})/(e^{5x+4)}

simplify

\frac{e ^{x^{2} + 2 x - 4}}{e ^{5 x + 4}}

e^{x^{2} - 3 x - 8}

Solution steps

\frac{e ^{x^{2} + 2 x - 4}}{e ^{5 x + 4}}

Apply exponent rule:

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

= e^{x^{2} + 2 x - 4 - (5 x + 4)}

Expand

x^{2} + 2 x - 4 - (5 x + 4) : x^{2} - 3 x - 8

= e^{x^{2} - 3 x - 8}

e^{- j \cdot \frac{2 π}{8} \cdot 0}

- 0.06598 e^{- 0.06598}

\frac{e ^{2 x}}{e ^{- 3 x}}

3 ln (2) \cdot 8^{x} \cdot 8^{x}

1 0^{- 3} (- 11.9)^{1.85}

What is (e^{x^2+2x-4})/(e^{5x+4)} ?
The solution to (e^{x^2+2x-4})/(e^{5x+4)} is e^{x^2-3x-8}