en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[3]{8^n}

Solution

simplify

Solution

2^{n}

Solution steps

Apply radical rule:

= (8^{n})^{\frac{1}{3}}

Apply exponent rule:

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

= 8^{n \frac{1}{3}}

Simplify

n \frac{1}{3} : \frac{n}{3}

= 8^{\frac{n}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

(2^{3})^{\frac{n}{3}} = 2^{3 \cdot \frac{n}{3}} = 2^{n}

= 2^{n}

Popular Examples

simplify (9xy^8)*(6x^5y^3)simplify

(9 x y^{8}) \cdot (6 x^{5} y^{3})

simplify 4.3x10^{-6}simplify

4.3 x 1 0^{- 6}

simplify e^{(-at)}*sin(wt)simplify

e^{(- a t)} \cdot sin (wt)

simplify x^3(x^5y^7)simplify

x^{3} (x^{5} y^{7})

simplify (2a^2e)*(3e^3)*a simplify

(2 a^{2} e) \cdot (3 e^{3}) \cdot a

Frequently Asked Questions (FAQ)

What is \sqrt[3]{8^n} ?
The solution to \sqrt[3]{8^n} is 2^n