Simplify (e^(5x))/(e^(-2x))

$\frac{e^{5 x}}{e^{- 2 x}}$

Factor $e^{- 2 x}$ out of $e^{5 x}$ .

$\frac{e^{- 2 x} e^{7 x}}{e^{- 2 x}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{e^{- 2 x} e^{7 x}}{e^{- 2 x} \cdot 1}$

Cancel the common factor.

$\frac{e^{- 2 x} e^{7 x}}{e^{- 2 x} \cdot 1}$

Rewrite the expression.

$\frac{e^{7 x}}{1}$

Divide $e^{7 x}$ by $1$ .

$e^{7 x}$

$e^{7 x}$

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