What is (\sqrt[6]{sqrt(a^3)})^2 ?

The solution to (\sqrt[6]{sqrt(a^3)})^2 is cube root of a^{3/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[6]{sqrt(a^3)})^2

simplify

Solution steps

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

Apply radical rule:

= ((a^{\frac{3}{2}})^{\frac{1}{6}})^{2}

Apply exponent rule:

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

= (a^{\frac{3}{2}})^{\frac{1}{6} \cdot 2}

\frac{1}{6} \cdot 2 = \frac{1}{3}

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

15 e^{- 0.15 (4.63)}

2.05 \cdot 60 0^{- 0.18}

((- \frac{1001}{115})^{5})^{16}^{100}

e^{- 8 t}

[(2^{3})^{- 2}]^{0.5} \cdot [(0.5)^{0.75}]^{- 4}

What is (\sqrt[6]{sqrt(a^3)})^2 ?
The solution to (\sqrt[6]{sqrt(a^3)})^2 is cube root of a^{3/2}