What is 1/(e^{2x)}(e^{-2x}) ?

The solution to 1/(e^{2x)}(e^{-2x}) is 1/(e^{4x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

\frac{1}{e ^{2 x}} (e^{- 2 x})

\frac{1}{e ^{4 x}}

Solution steps

\frac{1}{e ^{2 x}} (e^{- 2 x})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 x}} \cdot \frac{1}{e ^{2 x}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{e ^{2 x} e ^{2 x}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e ^{2 x} e ^{2 x}}

e^{2 x} e^{2 x} = e^{4 x}

= \frac{1}{e ^{4 x}}

(9 x^{6} y^{10}) (3 x^{3} y^{5})

2 2 + 3

f^{'} (- 3) x e^{- 2 x}

e^{- 1.4 9^{2}} e^{22}