en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(3))^{(2x)/3-1}

Solution

simplify

(3)^{\frac{2 x}{3} - 1}

Solution

3^{\frac{- 3 + 2 x}{6}}

Solution steps

(3)^{\frac{2 x}{3} - 1}

Join

\frac{2 x}{3} - 1 : \frac{- 3 + 2 x}{3}

= (3)^{\frac{- 3 + 2 x}{3}}

Apply radical rule:

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

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

Apply exponent rule:

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

= 3^{\frac{1}{2} \cdot \frac{- 3 + 2 x}{3}}

Simplify

\frac{1}{2} \cdot \frac{- 3 + 2 x}{3} : \frac{- 3 + 2 x}{6}

= 3^{\frac{- 3 + 2 x}{6}}

Popular Examples

simplify 4^4e^{-4}simplify

4^{4} e^{- 4}

simplify (e^z)^2 simplify

(e^{z})^{2}

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

2 (- 1)^{3} e^{- (- 1)}

simplify 7.2*10^{-4}simplify

7.2 \cdot 1 0^{- 4}

simplify e^{-t}*(-e^{-t})simplify

e^{- t} \cdot (- e^{- t})

Frequently Asked Questions (FAQ)

What is (sqrt(3))^{(2x)/3-1} ?
The solution to (sqrt(3))^{(2x)/3-1} is 3^{(-3+2x)/6}