en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-ln(3)})^4

Solution

simplify

(e^{- l n (3)})^{4}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

(e^{- l n (3)})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{(- l n (3)) \cdot 4}

Remove parentheses:

(- a) = - a

= e^{- 4 l n (3)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (3)})^{- 4}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (3)} = 3

= 3^{- 4}

Simplify

= \frac{1}{81}

Popular Examples

simplify (sqrt(B))/(sqrt(A))simplify

\frac{B}{A}

expand (2*(-5)γ)^3 expand

(2 \cdot (- 5) γ)^{3}

simplify 6e^3*e^{-t}simplify

6 e^{3} \cdot e^{- t}

simplify e^{-11/17}simplify

e^{- \frac{11}{17}}

simplify-b^2*e^{-b}simplify

- b^{2} \cdot e^{- b}

Frequently Asked Questions (FAQ)

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