en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-4})/(e^{-2)}

Solution

simplify

\frac{e ^{- 4}}{e ^{- 2}}

Solution

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

+1

Decimal Notation

0.13533 \dots

Solution steps

\frac{e ^{- 4}}{e ^{- 2}}

Apply exponent rule:

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

= e^{- 4 - (- 2)}

Apply rule

- (- a) = a

= e^{- 4 + 2}

Add/Subtract the numbers:

- 4 + 2 = - 2

= e^{- 2}

Apply exponent rule:

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

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

Popular Examples

simplify (2.8*10^{-4})(16)^{1.08}simplify

(2.8 \cdot 1 0^{- 4}) (16)^{1.08}

simplify 1/3 e^{-3x}simplify

\frac{1}{3} e^{- 3 x}

simplify ((6*4^n)/(4^{2n+1)+2^{4n+1}})n^{-1}simplify

(\frac{6 \cdot 4 ^{n}}{4 ^{2 n + 1} + 2 ^{4 n + 1}}) n^{- 1}

simplify (\sqrt[4]{5})^2 simplify

simplify (sqrt(x))^{5/2}simplify

(x)^{\frac{5}{2}}

Frequently Asked Questions (FAQ)

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