en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

Solution

2^{\frac{3}{5}} x^{\frac{3}{5}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

= 2^{\frac{3}{5}} x^{\frac{3}{5}}

Popular Examples

simplify (5/9)^{-1}(0.34)^2 simplify

(\frac{5}{9})^{- 1} (0.34)^{2}

simplify e^{-2ln(t+1)}simplify

e^{- 2 l n (t + 1)}

simplify x*\sqrt[3]{x^2}simplify

simplify (6y^{16}z^{20})*(8yz^5)simplify

(6 y^{16} z^{20}) \cdot (8 y z^{5})

simplify (3-5x)^3(x+7)(2x+3)^3 simplify

(3 - 5 x)^{3} (x + 7) (2 x + 3)^{3}

Frequently Asked Questions (FAQ)

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