en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[6]{3^5})^4

Solution

simplify

(6 3^{5})^{4}

Solution

2733

+1

Decimal

38.94073 \dots

Solution steps

(6 3^{5})^{4}

6 3^{5} : 3^{\frac{5}{6}}

= (3^{\frac{5}{6}})^{4}

Apply exponent rule:

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

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

\frac{5}{6} \cdot 4 = \frac{10}{3}

= 3^{\frac{10}{3}}

3^{\frac{10}{3}} = 3^{3} 33

= 3^{3} 33

3^{3} = 27

= 2733

Popular Examples

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

\frac{x + 3}{2 - x}

simplify e^{-4/(sqrt(n))}simplify

e^{- \frac{4}{n}}

simplify e^{-3t}cos(4t)simplify

e^{- 3 t} cos (4 t)

simplify e^{-2*0.01}simplify

e^{- 2 \cdot 0.01}

simplify (b^5)/(a^5)simplify

\frac{b ^{5}}{a ^{5}}

Frequently Asked Questions (FAQ)

What is (\sqrt[6]{3^5})^4 ?
The solution to (\sqrt[6]{3^5})^4 is 27\sqrt[3]{3}