en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[10]{18^5}

Solution

simplify

10 1 8^{5}

Solution

32

+1

Decimal

4.24264 \dots

Solution steps

10 1 8^{5}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (1 8^{5})^{\frac{1}{10}}

Apply exponent rule:

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

= 1 8^{5 \cdot \frac{1}{10}}

5 \cdot \frac{1}{10} = \frac{1}{2}

= 1 8^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 3^{2} \cdot 2

Apply radical rule:

n ab = n a n b

= 2 3^{2}

Apply radical rule:

n a^{n} = a

3^{2} = 3

= 32

Popular Examples

simplify pi(1.5)/2 0.05(10^{-6})simplify

π \frac{1.5}{2} 0.05 (1 0^{- 6})

simplify (sqrt(x-2))/(sqrt(5-x))simplify

\frac{x - 2}{5 - x}

simplify e^{-x}(xe^{-x})simplify

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

simplify (a^b)/(c^b)simplify

\frac{a ^{b}}{c ^{b}}

simplify 2e^{-4(2)}simplify

2 e^{- 4 (2)}

Frequently Asked Questions (FAQ)

What is \sqrt[10]{18^5} ?
The solution to \sqrt[10]{18^5} is 3sqrt(2)