en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/3 e^{-2})^{-4}

Solution

simplify

(\frac{1}{3} e^{- 2})^{- 4}

Solution

81 e^{8}

+1

Decimal Notation

241457.59695 \dots

Solution steps

(\frac{1}{3} e^{- 2})^{- 4}

Apply exponent rule:

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

= \frac{1}{( e ^{- 2} \frac{1}{3} ) ^{4}}

(\frac{1}{3} e^{- 2})^{4} = \frac{1}{3 ^{4} e ^{8}}

= \frac{1}{\frac{1}{3 ^{4} e ^{8}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{3 ^{4} e ^{8}}{1}

Apply rule

\frac{a}{1} = a

= 3^{4} e^{8}

3^{4} = 81

= 81 e^{8}

Popular Examples

simplify (2x^3y)(3x^4y^3)simplify

(2 x^{3} y) (3 x^{4} y^{3})

simplify e^{2t}*2e^{2t}simplify

e^{2 t} \cdot 2 e^{2 t}

simplify-8y(x^2y^3c^4)simplify

- 8 y (x^{2} y^{3} c^{4})

simplify 10/9 e^{-1/10}simplify

\frac{10}{9} e^{- \frac{1}{10}}

simplify (xy^3)(x^2y)simplify

(x y^{3}) (x^{2} y)

Frequently Asked Questions (FAQ)

What is (1/3 e^{-2})^{-4} ?
The solution to (1/3 e^{-2})^{-4} is 81e^8