What is (e^{-2x})/(e^{-6x)} ?

The solution to (e^{-2x})/(e^{-6x)} is e^{4x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-2x})/(e^{-6x)}

simplify

\frac{e ^{- 2 x}}{e ^{- 6 x}}

e^{4 x}

Solution steps

\frac{e ^{- 2 x}}{e ^{- 6 x}}

Apply exponent rule:

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

= e^{- 2 x - (- 6 x)}

Apply rule

- (- a) = a

= e^{- 2 x + 6 x}

Add similar elements:

- 2 x + 6 x = 4 x

= e^{4 x}

π [e^{(- \frac{1}{4}) x}]^{2}

6.733 \cdot 1 0^{- 8}

\frac{( b ^{2} x + 1 ) ^{3}}{x ^{3}}

- 4 (0.5)^{- 2}

500 (1.13)^{- 10}