en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(9^n))^{1/(n+2)}

Solution

simplify

(9^{n})^{\frac{1}{n + 2}}

Solution

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

Solution steps

(9^{n})^{\frac{1}{n + 2}}

9^{n} : 9^{\frac{n}{2}}

= (9^{\frac{n}{2}})^{\frac{1}{n + 2}}

9^{\frac{n}{2}} = 3^{n}

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

Apply exponent rule:

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

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

Simplify

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

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

Popular Examples

simplify 3(0.37)^22(0.37)(0.63)^2 simplify

3 (0.37)^{2} 2 (0.37) (0.63)^{2}

simplify 7.68*10^{-5}simplify

7.68 \cdot 1 0^{- 5}

simplify \sqrt[10]{64^5}simplify

simplify e^{-34}simplify

e^{- 34}

simplify (-2)^6*e^{-(-2)^2}simplify

(- 2)^{6} \cdot e^{- (- 2)^{2}}

Frequently Asked Questions (FAQ)

What is (sqrt(9^n))^{1/(n+2)} ?
The solution to (sqrt(9^n))^{1/(n+2)} is 3^{n/(n+2)}