en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[10]{32^6}

Solution

simplify

Solution

8

Solution steps

Apply radical rule:

= (3 2^{6})^{\frac{1}{10}}

Apply exponent rule:

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

= 3 2^{6 \cdot \frac{1}{10}}

6 \cdot \frac{1}{10} = \frac{3}{5}

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

Factor the number:

32 = 2^{5}

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

Apply exponent rule:

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

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

= 2^{3}

Refine

= 8

Popular Examples

simplify (sqrt(3))/(sqrt(46))simplify

\frac{3}{46}

simplify (2sqrt(x+3))*(2sqrt(x-3))simplify

(2 x + 3) \cdot (2 x - 3)

simplify e^{(-pi)}simplify

e^{(- π)}

simplify (\sqrt[6]{25})^2 simplify

simplify (x+1)e^{(-1)}simplify

(x + 1) e^{(- 1)}

Frequently Asked Questions (FAQ)

What is \sqrt[10]{32^6} ?
The solution to \sqrt[10]{32^6} is 8