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Popular >

simplify (e^{2x})/(e^{-x)}

Solution

simplify

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

Solution

e^{3 x}

Solution steps

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

Apply exponent rule:

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

= e^{2 x - (- x)}

Apply rule

- (- a) = a

= e^{2 x + x}

Add similar elements:

2 x + x = 3 x

= e^{3 x}

Popular Examples

6 - 6 x^{2} = 3 x

simplify (3.3*0.343)/(2.1)simplify

\frac{3.3 \cdot 0.343}{2.1}

simplify (x^{-2})/(x^{-1)}simplify

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

4 x^{2} - 5 x + 24 = 0

simplify 1-1/(1/a)simplify

1 - \frac{1}{\frac{1}{a}}

Frequently Asked Questions (FAQ)

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