en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

Solution

2^{\frac{2}{3}} a^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((2 a)^{\frac{1}{3}})^{2}

Apply exponent rule:

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

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

\frac{1}{3} \cdot 2 = \frac{2}{3}

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

Apply exponent rule:

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

= 2^{\frac{2}{3}} a^{\frac{2}{3}}

Popular Examples

simplify (8^6)/(7^6)simplify

\frac{8 ^{6}}{7 ^{6}}

simplify 1.004*10^{-5}simplify

1.004 \cdot 1 0^{- 5}

simplify e^{ln(5)}(e^x)simplify

e^{l n (5)} (e^{x})

simplify 0.55*10^{-12}simplify

0.55 \cdot 1 0^{- 12}

simplify 38e^{-0.28(0)}simplify

38 e^{- 0.28 (0)}

Frequently Asked Questions (FAQ)

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