en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(3^{n+1)}

Solution

simplify

3^{n + 1}

Solution

3^{\frac{n + 1}{2}}

Solution steps

3^{n + 1}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

(n + 1) \frac{1}{2} : \frac{n + 1}{2}

= 3^{\frac{n + 1}{2}}

Popular Examples

simplify 4.56*10^{-1}simplify

4.56 \cdot 1 0^{- 1}

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

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

simplify 7.55*10^{-4}simplify

7.55 \cdot 1 0^{- 4}

simplify x^2(-x+2)^2(x^2-2x+2)simplify

x^{2} (- x + 2)^{2} (x^{2} - 2 x + 2)

simplify 234.6*10^{-4}simplify

234.6 \cdot 1 0^{- 4}

Frequently Asked Questions (FAQ)

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