en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[5]{4x^2})^3

Solution

simplify

Solution

4^{\frac{3}{5}} x^{\frac{6}{5}}

Solution steps

Apply radical rule:

= ((4 x^{2})^{\frac{1}{5}})^{3}

Apply exponent rule:

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

= (4 x^{2})^{\frac{1}{5} \cdot 3}

\frac{1}{5} \cdot 3 = \frac{3}{5}

= (4 x^{2})^{\frac{3}{5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 4^{\frac{3}{5}} (x^{2})^{\frac{3}{5}}

(x^{2})^{\frac{3}{5}} : x^{\frac{6}{5}}

= 4^{\frac{3}{5}} x^{\frac{6}{5}}

Popular Examples

simplify 0.6e^{-1}simplify

0.6 e^{- 1}

simplify k^2(s+2)^2 simplify

k^{2} (s + 2)^{2}

simplify (ab^4)(ab^2)simplify

(a b^{4}) (a b^{2})

simplify 20*2.7^{-0.8*2.5}simplify

20 \cdot 2. 7^{- 0.8 \cdot 2.5}

simplify \sqrt[3]{\sqrt[4]{sqrt(264)}}simplify

Frequently Asked Questions (FAQ)

What is (\sqrt[5]{4x^2})^3 ?
The solution to (\sqrt[5]{4x^2})^3 is 4^{3/5}x^{6/5}